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6 ~A(lim((Conditional(-1,(x<0);1,(1>=0))),0))~p0
5 ~A(lim((Conditional(-1,(x<0);1,(1>=0))),0)=?)~p0
6 ~A(lim((sin(x))/x,0))~p0
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  |,N }& b!( b"0 b#8 b$@ b%H b&P!WW}}}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
3 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b'4" *^: ;bP5&c55*Examples|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
4 ~A(lim_y((sin(y))/y,0))~p0
5 ~A(lim_y((sin(y))/y,0)=1)~p0
6 ~A(Lim((sin(z))/z,0,z))~p0
5 ~A(Lim((sin(z))/z,0,z)=1)~p0
6 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b'4[&! )b A# b'4" *^: ;bP5&c55*3,N|
  |  `fb!D}&c55)leftlim ,H f,Hx,I,L a ,I `f }&c55*and`fb!D}&c55) |
  |rightlim ,H f,Hx,I,L a,I }& b!( b"0 b#8 b$@ b%H b&P!WW}`f })<# b'4|
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  |     ,Bf,Hx,I,B here must be an expression using the variable|
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  | you will see the algebraic calculation steps in computing the|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW})'# b'4     limits,N|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}}}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
3 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b'4" *^: ;bP5&c55*Examples|
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4 ~A(leftlim((Conditional(-1,(x<0);1,(1>=0))),0))~p0
5 ~A(leftlim((Conditional(-1,(x<0);1,(1>=0))),0)=~
 -1)~p0
6 ~A(rightlim((Conditional(-1,(x<0);1,(1>=0))),0))~p0
5 ~A(rightlim((Conditional(-1,(x<0);1,(1>=0))),0)=~
 1)~p0
6 ~A(leftlim((x^3+8)/(x+2),-2))~p0
5 ~A(leftlim((x^3+8)/(x+2),-2)=leftlim(4*x^0+(-2)*~
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6 ~sb/^! !  }
"& ! c#T"!c#L"_c/__c/__}
^ _~A(leftlim(~
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7 ~A(leftlim((x^3+8)/(x+2),-2)=Conditional(abs((-~
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8 ~A(leftlim((x^3+8)/(x+2),-2)=abs(-(-4.0000000199999999)+~
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9 ~sb/_! !  }
!& ! c#T"!c'L!_c/__c/__}
^ _~A(leftlim(~
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10 ~sb/_! !  }
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]|Expr|[#b @`bb#_b#_b#_})!# b'4[#! )b O# b'4" *^: ;bP5&c55*4,N|
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  |  RightLim ,H f,Hy,I,L a ,L y ,I }& b!( b"0 b#8 b$@ b%H b&P!WW}|
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4 ~A(LeftLim((Conditional(-1,(z<0);1,(1>=0))),0,~
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5 ~A(LeftLim((Conditional(-1,(z<0);1,(1>=0))),0,~
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6 ~A(RightLim((Conditional(-1,(y<0);1,(1>=0))),0,~
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5 ~A(RightLim((Conditional(-1,(y<0);1,(1>=0))),0,~
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6 ~Q
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4 ~Q
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4 ~sb/^!!   }
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4 ~Q
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5 ~sb/^!!   }
"(!  c#T"!c#L"!c"H$_c/__c/__}
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6 ~sb/_!!   }
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7 ~Q
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4 ~A(Integral(x*e^(x^2)*d*x)=1/2*e^(x^2))~p0
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1 ~gc-1 48 ? 0 -32768 -32768 -32768
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2788 -32768 -32768 -32768
4183 -32768 -32768 -32768
5403 -32768 -32768 -32768
6971 -32768 -32768 -32768
8366 -32768 -32768 -32768
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11154 -32768 -32768 -32768
12549 -32768 -32768 -32768
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20915 -32768 -32768 -32768
22135 -32768 -32768 -32768
23704 -32768 -32768 -32768
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26666 -32768 -32768 -32768
27887 -32768 -32768 -32768
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30501 -32768 -32768 -32768
32070 -32768 -32768 -32768
33464 -32768 -32768 -32768
35033 -32768 -32768 -32768
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37647 -32768 -32768 -32768
38868 -32768 -32768 -32768
40436 -32768 -32768 -32768
41830 -32768 -32768 -32768
43399 -32768 -32768 -32768
44619 -32768 -32768 -32768
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47234 -32768 -32768 -32768
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50197 -32768 -32768 -32768
51765 -32768 -32768 -32768
52985 -32768 -32768 -32768
54380 -32768 -32768 -32768
55600 -32768 -32768 -32768
57168 -32768 -32768 -32768
58563 -32768 -32768 -32768
60131 -32768 -32768 -32768
61351 -32768 -32768 -32768
62746 -32768 -32768 -32768
63966 -32768 -32768 -32768
65535 -32768 -32768 -32768
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4183 -32768 -32768 -32768
5403 -32768 -32768 -32768
6971 -32768 -32768 -32768
8366 -32768 -32768 -32768
9934 -32768 -32768 -32768
11154 -32768 -32768 -32768
12549 -32768 -32768 -32768
13769 -32768 -32768 -32768
15337 -32768 -32768 -32768
16732 -32768 -32768 -32768
18300 -32768 -32768 -32768
19521 -32768 -32768 -32768
20915 -32768 -32768 -32768
22135 -32768 -32768 -32768
23704 -32768 -32768 -32768
25098 -32768 -32768 -32768
26666 -32768 -32768 -32768
27887 -32768 -32768 -32768
29281 -32768 -32768 -32768
30501 -32768 -32768 -32768
32070 -32768 -32768 -32768
33464 -32768 -32768 -32768
35033 -32768 -32768 -32768
36253 -32768 -32768 -32768
37647 -32768 -32768 -32768
38868 -32768 -32768 -32768
40436 -32768 -32768 -32768
41830 -32768 -32768 -32768
43399 -32768 -32768 -32768
44619 -32768 -32768 -32768
46013 -32768 -32768 -32768
47234 -32768 -32768 -32768
48802 -32768 -32768 -32768
50197 -32768 -32768 -32768
51765 -32768 -32768 -32768
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57168 -32768 -32768 -32768
58563 -32768 -32768 -32768
60131 -32768 -32768 -32768
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8366 -32768 -32768 -32768
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11154 -32768 -32768 -32768
12549 -32768 -32768 -32768
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15337 -32768 -32768 -32768
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61351 -32768 -32768 -32768
62746 -32768 -32768 -32768
63966 -32768 -32768 -32768
65535 -32768 -32768 -32768
~
 ~L4 255 ? (TraceThis_2,y):(y=bottom...(EvaluateAt(~
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1 ~gc-1 48 ? 0 -32768 -32768 -32768
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63966 -32768 -32768 -32768
65535 -32768 -32768 -32768
~
 ~L4 431880 ? (x,(EvaluateAt(TraceThis_1):(x=TraceThis_~
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1 ~gc-1 48 ? 0 -32768 -32768 -32768
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~
 ~S1 ? 171008 ? ? (EvaluateAt(left,TraceThis_1):(~
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61351 -32768 -32768 -32768
62746 -32768 -32768 -32768
63966 -32768 -32768 -32768
65535 -32768 -32768 -32768
~
 ~S1 ? 4885759 ? ? (EvaluateAt(x,bottom):(x=TraceThis_~
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1 ~gc-1 48 ? 0 -32768 -32768 -32768
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61351 -32768 -32768 -32768
62746 -32768 -32768 -32768
63966 -32768 -32768 -32768
65535 -32768 -32768 -32768
~
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~
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~
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~
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]|Expr|[#b @`bb#_b#_b#_}).# b'4" *^: ;bP6&c55*6,N How To Use |
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2 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b'4[%! ) # b'4|
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20005 -32768 -32768 -32768
20695 -32768 -32768 -32768
21471 -32768 -32768 -32768
22074 -32768 -32768 -32768
22764 -32768 -32768 -32768
23368 -32768 -32768 -32768
24144 -32768 -32768 -32768
24834 -32768 -32768 -32768
25610 -32768 -32768 -32768
26214 -32768 -32768 -32768
26903 -32768 -32768 -32768
27507 -32768 -32768 -32768
28283 -32768 -32768 -32768
28973 -32768 -32768 -32768
29749 -32768 -32768 -32768
30353 -32768 -32768 -32768
31042 -32768 -32768 -32768
31646 -32768 -32768 -32768
32422 -32768 -32768 -32768
33112 -32768 -32768 -32768
33888 -32768 -32768 -32768
34492 -32768 -32768 -32768
35181 -32768 -32768 -32768
35785 -32768 -32768 -32768
36561 -32768 -32768 -32768
37251 -32768 -32768 -32768
38027 -32768 -32768 -32768
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51048 -32768 -32768 -32768
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52342 -32768 -32768 -32768
53117 -32768 -32768 -32768
53807 -32768 -32768 -32768
54583 -32768 -32768 -32768
55187 -32768 -32768 -32768
55877 -32768 -32768 -32768
56481 -32768 -32768 -32768
57256 -32768 -32768 -32768
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58722 -32768 -32768 -32768
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60016 -32768 -32768 -32768
60620 -32768 -32768 -32768
61395 -32768 -32768 -32768
62085 -32768 -32768 -32768
62861 -32768 -32768 -32768
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64155 -32768 -32768 -32768
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65535 -32768 -32768 -32768
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  |l9/HA!0C._6B-RRB7r<g_`3ZngV1_3_%<P?Bc@-ZC3f2<L(JCNhYTZ&8Z)tR|
  |_lFq>9I.6Qb;kL%30&c="\?._q6H&,^%YRc@K2o%Wf"T)c,1eN?.XphM;.W(|
  |h[NV9TX,0c1l]?.MSJAYm<3@aEmD/KD6%@YkM.uqH\X8X]k+ZiCU-%V].r(+|
  |>FtS<-_#2&3Kph6W`lT9O\ugSfCkB?hsViX<EYW9hiHgM1lWe4b5sfhn"8(;|
  |SQ%](qu7Y&T:`m+?)2Q:a0NW#VeK&ZZ7H#aR\j"JN*Z>_$6=Fu&,d4p!!!!!|
  |8OZBBY!QNJ|
  |2b!0b!0|
  |   P\  (<   \8 @D_"0 W!@ =((@L,@0;>PP.?@ A?X@R?8 X/( \/P \/9|
  | XS)  PI  XA   A   0|
  |9}|
  | ["! (%;bP6on the inside}_}}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
4 ~A(sqrt(291721500)=sqrt(2^2*3^5*5^3*7^4))~p0
5 ~sb/^!!   }
'(!  c#T"!c"4! c&D _c/__c/__}
^ _~Q
]|Expr|[#b @`bb#_b#_b#_})%# b'4["! ()" *^: ;bP6&c55*Step 2,Z |
  | Use Transform}^;bP4 };bP6 ;bP8`g|
  |1%%|
  |33___|
  |3b$3b#;|
  |M,6r;%14!\!!!!.8Ou6I!!!!4!!!!4#Qau+!<"[HRfEEgU.Ia=<-Xq8P#2\k|
  |+UCJ1ZT!IliLN(EF!g`L6<Vq-@ak/$^iRH![@\]gY?cm=I'H2AlE4&1+u9To|
  |&LfH7R^!JS,%``A%qJdJ0di#.VQ/%gbQ+e/1[.rF"[GK/'>Sul^>>FOgE)b&|
  |@mjaoXnNme>Bt=aAbq>BQfeLebfoum27\.]qG[p*o!:MCNo_*NUsE(PJil0Z|
  |dPLei,4YrD-_$`b"0`+4!!!!j78?7R6=>BF|
  |2b!,b!,|
  |___Q___M__W%__[S__\A_?^M_'_3_A_C_@_1/ X%_!^5_!_Q_P_Q?\_5/__E|
  |G__A[__O___I___M|
  |9}|
  | ["! ();bP6on the entire Square Root}_}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
4 ~A(sqrt(291721500)=18*sqrt(900375))~p0
5 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b'4["! ()" *^: ;bP6&c55*Step 3,Z |
  | Use Factor}^;bP4 };bP6 ;bP8`g|
  |1%%|
  |54___|
  |3b(Fb&X|
  |M,6r;%14!\!!!!.8Ou6I!!!!6!!!!5#Qau+!:;5oA,lT1In<$o<-Xpu<,IbM|
  |0G&ZfS:Ng0<5Kg[,d\29"XFWc`'PaQ#s8M[66h'YZ1NdEV/tu6-40Q5G0*XX|
  |PQ8r!>h:jY`ts8rF42s7;%uH=\Qn9B5!b9.H9<6ugDJsk-GHro,3$;>l^B*O|
  |JcH'V5h-=!rW/s4N%q.s1/nuT[=Y(p'd9s7-[^lXY%nW+rDf,5!`WGS8>rP2|
  |l9/HA!0C._6B-RRB7r<g_`3ZngV1_3_%<P?Bc@-ZC3f2<L(JCNhYTZ&8Z)tR|
  |_lFq>9I.6Qb;kL%30&c="\?._q6H&,^%YRc@K2o%Wf"T)c,1eN?.XphM;.W(|
  |h[NV9TX,0c1l]?.MSJAYm<3@aEmD/KD6%@YkM.uqH\X8X]k+ZiCU-%V].r(+|
  |>FtS<-_#2&3Kph6W`lT9O\ugSfCkB?hsViX<EYW9hiHgM1lWe4b5sfhn"8(;|
  |SQ%](qu7Y&T:`m+?)2Q:a0NW#VeK&ZZ7H#aR\j"JN*Z>_$6=Fu&,d4p!!!!!|
  |8OZBBY!QNJ|
  |2b!0b!0|
  |   P\  (<   \8 @D_"0 W!@ =((@L,@0;>PP.?@ A?X@R?8 X/( \/P \/9|
  | XS)  PI  XA   A   0|
  |9}|
  | ["! (-;bP6on the inside of the Square Root}_}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
4 ~A(sqrt(291721500)=18*sqrt(3*5^3*7^4))~p0
5 ~sb/_!!   }
'*!  c#T"!c"H"!c"4! c&D _c/__c/__}
^ _~
 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b'4["! ()" *^: ;bP6&c55*Step 4,Z |
  | Use Transform}^;bP4 };bP6 ;bP8`g|
  |1%%|
  |33___|
  |3b$3b#;|
  |M,6r;%14!\!!!!.8Ou6I!!!!4!!!!4#Qau+!<"[HRfEEgU.Ia=<-Xq8P#2\k|
  |+UCJ1ZT!IliLN(EF!g`L6<Vq-@ak/$^iRH![@\]gY?cm=I'H2AlE4&1+u9To|
  |&LfH7R^!JS,%``A%qJdJ0di#.VQ/%gbQ+e/1[.rF"[GK/'>Sul^>>FOgE)b&|
  |@mjaoXnNme>Bt=aAbq>BQfeLebfoum27\.]qG[p*o!:MCNo_*NUsE(PJil0Z|
  |dPLei,4YrD-_$`b"0`+4!!!!j78?7R6=>BF|
  |2b!,b!,|
  |___Q___M__W%__[S__\A_?^M_'_3_A_C_@_1/ X%_!^5_!_Q_P_Q?\_5/__E|
  |G__A[__O___I___M|
  |9}|
  | ["! ();bP6on the entire Square Root}_}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
4 ~A(sqrt(291721500)=18*(5*sqrt(7203)*sqrt(5)))~p0
5 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b'4["! ()" *^: ;bP6&c55*Step 5,Z |
  | Use Expand}^;bP4 };bP6 ;bP8`g|
  |1%%|
  |65___|
  |3b&:b%%|
  |M,6r;%14!\!!!!.8Ou6I!!!!7!!!!6#Qau+!6mie_>jQ:$qWiQ<-Xq(<82E2|
  |0F1'*Bco";"^I6j'9mID/1%eAjT?UU.@,&^it%+XX(?PfJ3#P"RJ[6X78li.|
  |q'"o`np,Tq?V42G5=:Z5R+]g0XK#lUmlJhtJG[QuQmM<s]g6a>RG"4t@X;<(|
  |&J9j:\)TH`%*9N8,)Stp3$C\cIC@]6&S-d&K*W.k$%SG/;Hj&"Cequd<gg9^|
  |R0//2+!,Ku;Ko$kMRo>'57V<Xq5k[PT20c52^ipo?59HI[WFLPM./k(gU;5R|
  |>V3]1Zes=DhP.F%Cu=tfBt&!@(6^eLM^=%V7LM6nHBn!>H_a*NG-lLsm[U%G|
  |(>!#2H.UMeAJ%dsV=8F#!BMI]@Qc_So`+sl!(fUS7'8jaJcGcN|
  |2b!4b!4|
  |     P P X!  \#  P @ P 0   000@@8XA!\]Y#\][C8XA!0P@@     P 0|
  | P @ \#0 \!  X 0 P 0   @|
  |9}|
  | ["! (';bP6on the entire expression}_}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
4 ~A(sqrt(291721500)=90*sqrt(36015))~p0
5 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b'4["! ()" *^: ;bP6&c55*Step 6,Z |
  | Use Factor}^;bP4 };bP6 ;bP8`g|
  |1%%|
  |54___|
  |3b(Fb&X|
  |M,6r;%14!\!!!!.8Ou6I!!!!6!!!!5#Qau+!:;5oA,lT1In<$o<-Xpu<,IbM|
  |0G&ZfS:Ng0<5Kg[,d\29"XFWc`'PaQ#s8M[66h'YZ1NdEV/tu6-40Q5G0*XX|
  |PQ8r!>h:jY`ts8rF42s7;%uH=\Qn9B5!b9.H9<6ugDJsk-GHro,3$;>l^B*O|
  |JcH'V5h-=!rW/s4N%q.s1/nuT[=Y(p'd9s7-[^lXY%nW+rDf,5!`WGS8>rP2|
  |l9/HA!0C._6B-RRB7r<g_`3ZngV1_3_%<P?Bc@-ZC3f2<L(JCNhYTZ&8Z)tR|
  |_lFq>9I.6Qb;kL%30&c="\?._q6H&,^%YRc@K2o%Wf"T)c,1eN?.XphM;.W(|
  |h[NV9TX,0c1l]?.MSJAYm<3@aEmD/KD6%@YkM.uqH\X8X]k+ZiCU-%V].r(+|
  |>FtS<-_#2&3Kph6W`lT9O\ugSfCkB?hsViX<EYW9hiHgM1lWe4b5sfhn"8(;|
  |SQ%](qu7Y&T:`m+?)2Q:a0NW#VeK&ZZ7H#aR\j"JN*Z>_$6=Fu&,d4p!!!!!|
  |8OZBBY!QNJ|
  |2b!0b!0|
  |   P\  (<   \8 @D_"0 W!@ =((@L,@0;>PP.?@ A?X@R?8 X/( \/P \/9|
  | XS)  PI  XA   A   0|
  |9}|
  | ["! (-;bP6on the inside of the Square Root}_}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
4 ~A(sqrt(291721500)=90*sqrt(3*5*7^4))~p0
5 ~sb/_!!   }
'*!  c#T"!c"H"!c"4! c&D _c/__c/__}
^ _~
 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b'4["! ()" *^: ;bP6&c55*Step 7,Z |
  | Use Transform}^;bP4 };bP6 ;bP8`g|
  |1%%|
  |54___|
  |3b(Fb&X|
  |M,6r;%14!\!!!!.8Ou6I!!!!6!!!!5#Qau+!:;5oA,lT1In<$o<-Xpu<,IbM|
  |0G&ZfS:Ng0<5Kg[,d\29"XFWc`'PaQ#s8M[66h'YZ1NdEV/tu6-40Q5G0*XX|
  |PQ8r!>h:jY`ts8rF42s7;%uH=\Qn9B5!b9.H9<6ugDJsk-GHro,3$;>l^B*O|
  |JcH'V5h-=!rW/s4N%q.s1/nuT[=Y(p'd9s7-[^lXY%nW+rDf,5!`WGS8>rP2|
  |l9/HA!0C._6B-RRB7r<g_`3ZngV1_3_%<P?Bc@-ZC3f2<L(JCNhYTZ&8Z)tR|
  |_lFq>9I.6Qb;kL%30&c="\?._q6H&,^%YRc@K2o%Wf"T)c,1eN?.XphM;.W(|
  |h[NV9TX,0c1l]?.MSJAYm<3@aEmD/KD6%@YkM.uqH\X8X]k+ZiCU-%V].r(+|
  |>FtS<-_#2&3Kph6W`lT9O\ugSfCkB?hsViX<EYW9hiHgM1lWe4b5sfhn"8(;|
  |SQ%](qu7Y&T:`m+?)2Q:a0NW#VeK&ZZ7H#aR\j"JN*Z>_$6=Fu&,d4p!!!!!|
  |8OZBBY!QNJ|
  |2b!0b!0|
  |   P\  (<   \8 @D_"0 W!@ =((@L,@0;>PP.?@ A?X@R?8 X/( \/P \/9|
  | XS)  PI  XA   A   0|
  |9}|
  | ["! ();bP6on the entire Square Root}_}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
4 ~A(sqrt(291721500)=90*(49*sqrt(15)))~p0
5 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b'4["! ()" *^: ;bP6&c55*Step 8,Z |
  | Use Expand}^;bP4 };bP6 ;bP8`g|
  |1%%|
  |65___|
  |3b&:b%%|
  |M,6r;%14!\!!!!.8Ou6I!!!!7!!!!6#Qau+!6mie_>jQ:$qWiQ<-Xq(<82E2|
  |0F1'*Bco";"^I6j'9mID/1%eAjT?UU.@,&^it%+XX(?PfJ3#P"RJ[6X78li.|
  |q'"o`np,Tq?V42G5=:Z5R+]g0XK#lUmlJhtJG[QuQmM<s]g6a>RG"4t@X;<(|
  |&J9j:\)TH`%*9N8,)Stp3$C\cIC@]6&S-d&K*W.k$%SG/;Hj&"Cequd<gg9^|
  |R0//2+!,Ku;Ko$kMRo>'57V<Xq5k[PT20c52^ipo?59HI[WFLPM./k(gU;5R|
  |>V3]1Zes=DhP.F%Cu=tfBt&!@(6^eLM^=%V7LM6nHBn!>H_a*NG-lLsm[U%G|
  |(>!#2H.UMeAJ%dsV=8F#!BMI]@Qc_So`+sl!(fUS7'8jaK)blN|
  |2b!4b!4|
  |     P P X!  \#  P @ P 0   000@@8XA!\]Y#\][C8XA!0P@@     P 0|
  | P @ \#0 \!  X 0 P 0   @|
  |9}|
  | ["! (';bP6on the entire expression}_}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
4 ~A(sqrt(291721500)=4410*sqrt(15))~p0
5 ~sb/_!!   }
"&!  c#T"!c"H"_c/__c/__}
^ _~Q
]|Expr|[#b @`bb#_b#_b#_})"# b'4["! (." *^: ;bP6&c55*Example ,C|
  |4,Z $^<c!$1(#$^;bP7&c55)7_^2 $(!11}_^5}}_^<2^1^3};bP8&c55* ;bP6AutoSimplify|
  | ON,Z  }_};bP8`g|
  |1%%|
  |53___|
  |3b$Lb#N|
  |M,6r;%14!\!!!!.8Ou6I!!!!6!!!!4#Qau+!:VPeg].<S[7NbP<-Xq`PYi'G|
  |0F1(uN]5rmj@mgdQ8?o!=sfqWmH@XId<W$+(EGGYa4W5SgM(ZWrk,[V_KZ$:|
  |!*A@`],j/#Wqosn68It#:3lp9/4n6MK]M3$<I=1AbdQ(jjCA0V4b086fS^"\|
  |<Ab92/X1cCJ#k$0F&W^6A_o`q9mfqX%PAseF]<d8cC#jhL'u?,IGBO4R+Y$I|
  |!eB?Wd!C0Z]6jmPlQC[pnJrBbONk!-Iic_UYJk,JS_jDI!!#SZ:.26O@"NpI|
  ||
  |2b!,b!,|
  |   P   X       @   X   @   @000@000XP08P@08(@X)H@Y)@ Q,X@7>(|
  |@'.P #$@ " @   X|
  |9}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~A((7^2*11^5)^(1/3))~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b'4["! ()" *^: ;bP6&c55*Step 1,Z |
  | Use Transform}^;bP4 };bP6 ;bP8`g|
  |1%%|
  |33___|
  |3b$3b#;|
  |M,6r;%14!\!!!!.8Ou6I!!!!4!!!!4#Qau+!<"[HRfEEgU.Ia=<-Xq8P#2\k|
  |+UCJ1ZT!IliLN(EF!g`L6<Vq-@ak/$^iRH![@\]gY?cm=I'H2AlE4&1+u9To|
  |&LfH7R^!JS,%``A%qJdJ0di#.VQ/%gbQ+e/1[.rF"[GK/'>Sul^>>FOgE)b&|
  |@mjaoXnNme>Bt=aAbq>BQfeLebfoum27\.]qG[p*o!:MCNo_*NUsE(PJil0Z|
  |dPLei,4YrD-_$`b"0`+4!!!!j78?7R6=>BF|
  |2b!,b!,|
  |___Q___M__W%__[S__\A_?^M_'_3_A_C_@_1/ X%_!^5_!_Q_P_Q?\_5/__E|
  |G__A[__O___I___M|
  |9}|
  | ["! (';bP6on the entire expression}_}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
4 ~A((7^2*11^5)^(1/3)=11*11^(2/3)*7^(2/3))~p0
5 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b'4["! ()" *^: ;bP6&c55*Step 2,Z |
  | Use Expand}^;bP4 };bP6 ;bP8`g|
  |1%%|
  |65___|
  |3b&:b%%|
  |M,6r;%14!\!!!!.8Ou6I!!!!7!!!!6#Qau+!6mie_>jQ:$qWiQ<-Xq(<82E2|
  |0F1'*Bco";"^I6j'9mID/1%eAjT?UU.@,&^it%+XX(?PfJ3#P"RJ[6X78li.|
  |q'"o`np,Tq?V42G5=:Z5R+]g0XK#lUmlJhtJG[QuQmM<s]g6a>RG"4t@X;<(|
  |&J9j:\)TH`%*9N8,)Stp3$C\cIC@]6&S-d&K*W.k$%SG/;Hj&"Cequd<gg9^|
  |R0//2+!,Ku;Ko$kMRo>'57V<Xq5k[PT20c52^ipo?59HI[WFLPM./k(gU;5R|
  |>V3]1Zes=DhP.F%Cu=tfBt&!@(6^eLM^=%V7LM6nHBn!>H_a*NG-lLsm[U%G|
  |(>!#2H.UMeAJ%dsV=8F#!BMI]@Qc_So`+sl!(fUS7'8jaJcGcN|
  |2b!4b!4|
  |     P P X!  \#  P @ P 0   000@@8XA!\]Y#\][C8XA!0P@@     P 0|
  | P @ \#0 \!  X 0 P 0   @|
  |9}|
  | ["! (';bP6on the entire expression}_}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
4 ~A((7^2*11^5)^(1/3)=11*77^(2/3))~p0
5 ~Q
]|Expr|[#b @`bb#_b#_b#_})"# b'4["! (." *^: ;bP6&c55*Example ,C|
  |5,Z $^<c!$1(%$^;bP7&c55)7_^2 $(!11}_^3 $^5_^5}}_^<2^1^3};bP8&c55* |
  |;bP6AutoSimplify ON,Z  }_};bP8`g|
  |1%%|
  |53___|
  |3b$Lb#N|
  |M,6r;%14!\!!!!.8Ou6I!!!!6!!!!4#Qau+!:VPeg].<S[7NbP<-Xq`PYi'G|
  |0F1(uN]5rmj@mgdQ8?o!=sfqWmH@XId<W$+(EGGYa4W5SgM(ZWrk,[V_KZ$:|
  |!*A@`],j/#Wqosn68It#:3lp9/4n6MK]M3$<I=1AbdQ(jjCA0V4b086fS^"\|
  |<Ab92/X1cCJ#k$0F&W^6A_o`q9mfqX%PAseF]<d8cC#jhL'u?,IGBO4R+Y$I|
  |!eB?Wd!C0Z]6jmPlQC[pnJrBbONk!-Iic_UYJk,JS_jDI!!#SZ:.26O@"Npq|
  ||
  |2b!,b!,|
  |   P   X       @   X   @   @000@000XP08P@08(@X)H@Y)@ Q,X@7>(|
  |@'.P #$@ " @   X|
  |9}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~A((7^2*11^3*5^5)^(1/3))~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b'4["! ()" *^: ;bP6&c55*Step 1,Z |
  | Use Transform}^;bP4 };bP6 ;bP8`g|
  |1%%|
  |33___|
  |3b$3b#;|
  |M,6r;%14!\!!!!.8Ou6I!!!!4!!!!4#Qau+!<"[HRfEEgU.Ia=<-Xq8P#2\k|
  |+UCJ1ZT!IliLN(EF!g`L6<Vq-@ak/$^iRH![@\]gY?cm=I'H2AlE4&1+u9To|
  |&LfH7R^!JS,%``A%qJdJ0di#.VQ/%gbQ+e/1[.rF"[GK/'>Sul^>>FOgE)b&|
  |@mjaoXnNme>Bt=aAbq>BQfeLebfoum27\.]qG[p*o!:MCNo_*NUsE(PJil0Z|
  |dPLei,4YrD-_$`b"0`+4!!!!j78?7R6=>BF|
  |2b!,b!,|
  |___Q___M__W%__[S__\A_?^M_'_3_A_C_@_1/ X%_!^5_!_Q_P_Q?\_5/__E|
  |G__A[__O___I___M|
  |9}|
  | ["! ();bP6on the entire Square Root}_}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
4 ~A((7^2*11^3*5^5)^(1/3)=11*153125^(1/3))~p0
5 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b'4["! ()" *^: ;bP6&c55*Step 2,Z |
  | Use Factor}^;bP4 };bP6 ;bP8`g|
  |1%%|
  |54___|
  |3b(Fb&X|
  |M,6r;%14!\!!!!.8Ou6I!!!!6!!!!5#Qau+!:;5oA,lT1In<$o<-Xpu<,IbM|
  |0G&ZfS:Ng0<5Kg[,d\29"XFWc`'PaQ#s8M[66h'YZ1NdEV/tu6-40Q5G0*XX|
  |PQ8r!>h:jY`ts8rF42s7;%uH=\Qn9B5!b9.H9<6ugDJsk-GHro,3$;>l^B*O|
  |JcH'V5h-=!rW/s4N%q.s1/nuT[=Y(p'd9s7-[^lXY%nW+rDf,5!`WGS8>rP2|
  |l9/HA!0C._6B-RRB7r<g_`3ZngV1_3_%<P?Bc@-ZC3f2<L(JCNhYTZ&8Z)tR|
  |_lFq>9I.6Qb;kL%30&c="\?._q6H&,^%YRc@K2o%Wf"T)c,1eN?.XphM;.W(|
  |h[NV9TX,0c1l]?.MSJAYm<3@aEmD/KD6%@YkM.uqH\X8X]k+ZiCU-%V].r(+|
  |>FtS<-_#2&3Kph6W`lT9O\ugSfCkB?hsViX<EYW9hiHgM1lWe4b5sfhn"8(;|
  |SQ%](qu7Y&T:`m+?)2Q:a0NW#VeK&ZZ7H#aR\j"JN*Z>_$6=Fu&,d4p!!!!!|
  |8OZBBY!QNJ|
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  |9}|
  | ["! (+;bP6on the inside of the root}_}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
4 ~A((7^2*11^3*5^5)^(1/3)=11*(5^5*7^2)^(1/3))~p0
5 ~sb/_!!   }
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^ _~
 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b'4["! ()" *^: ;bP6&c55*Step 2,Z |
  | Use Transform}^;bP4 };bP6 ;bP8`g|
  |1%%|
  |33___|
  |3b$3b#;|
  |M,6r;%14!\!!!!.8Ou6I!!!!4!!!!4#Qau+!<"[HRfEEgU.Ia=<-Xq8P#2\k|
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  |&LfH7R^!JS,%``A%qJdJ0di#.VQ/%gbQ+e/1[.rF"[GK/'>Sul^>>FOgE)b&|
  |@mjaoXnNme>Bt=aAbq>BQfeLebfoum27\.]qG[p*o!:MCNo_*NUsE(PJil0Z|
  |dPLei,4YrD-_$`b"0`+4!!!!j78?7R6=>BF|
  |2b!,b!,|
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  |9}|
  | ["! ();bP6on just the Root expression}_}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
4 ~A((7^2*11^3*5^5)^(1/3)=11*(5*7^(2/3)*5^(2/3)))~p0
5 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b'4["! ()" *^: ;bP6&c55*Step 3,Z |
  | Use Expand}^;bP4 };bP6 ;bP8`g|
  |1%%|
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  |q'"o`np,Tq?V42G5=:Z5R+]g0XK#lUmlJhtJG[QuQmM<s]g6a>RG"4t@X;<(|
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  |R0//2+!,Ku;Ko$kMRo>'57V<Xq5k[PT20c52^ipo?59HI[WFLPM./k(gU;5R|
  |>V3]1Zes=DhP.F%Cu=tfBt&!@(6^eLM^=%V7LM6nHBn!>H_a*NG-lLsm[U%G|
  |(>!#2H.UMeAJ%dsV=8F#!BMI]@Qc_So`+sl!(fUS7'8jaJcGcN|
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  |9}|
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  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
4 ~A((7^2*11^3*5^5)^(1/3)=55*7^(2/3)*5^(2/3))~p0
5 ~sb/_!!   }
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]|Expr|[#b @`bb#_b#_b#_})"# b'4["! (." *^: ;bP6&c55*Example ,C|
  |6,Z $^<c!$1(!;bP7&c55)3260950000}}_^<2^1^4};bP8&c55* ;bP6AutoSimplify|
  | ON,Z  }_};bP8`g|
  |1%%|
  |53___|
  |3b$Lb#N|
  |M,6r;%14!\!!!!.8Ou6I!!!!6!!!!4#Qau+!:VPeg].<S[7NbP<-Xq`PYi'G|
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  |!*A@`],j/#Wqosn68It#:3lp9/4n6MK]M3$<I=1AbdQ(jjCA0V4b086fS^"\|
  |<Ab92/X1cCJ#k$0F&W^6A_o`q9mfqX%PAseF]<d8cC#jhL'u?,IGBO4R+Y$I|
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  | Use Factor}^;bP4 };bP6 ;bP8`g|
  |1%%|
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  |JcH'V5h-=!rW/s4N%q.s1/nuT[=Y(p'd9s7-[^lXY%nW+rDf,5!`WGS8>rP2|
  |l9/HA!0C._6B-RRB7r<g_`3ZngV1_3_%<P?Bc@-ZC3f2<L(JCNhYTZ&8Z)tR|
  |_lFq>9I.6Qb;kL%30&c="\?._q6H&,^%YRc@K2o%Wf"T)c,1eN?.XphM;.W(|
  |h[NV9TX,0c1l]?.MSJAYm<3@aEmD/KD6%@YkM.uqH\X8X]k+ZiCU-%V].r(+|
  |>FtS<-_#2&3Kph6W`lT9O\ugSfCkB?hsViX<EYW9hiHgM1lWe4b5sfhn"8(;|
  |SQ%](qu7Y&T:`m+?)2Q:a0NW#VeK&ZZ7H#aR\j"JN*Z>_$6=Fu&,d4p!!!!!|
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  |9}|
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4 ~A(3260950000^(1/4)=(2^4*5^5*7^2*11^3)^(1/4))~p0
5 ~sb/^!!   }
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]|Expr|[#b @`bb#_b#_b#_})%# b'4["! ()" *^: ;bP6&c55*Step 2,Z |
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  |9}|
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5 ~Q
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  |1%%|
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  |h[NV9TX,0c1l]?.MSJAYm<3@aEmD/KD6%@YkM.uqH\X8X]k+ZiCU-%V].r(+|
  |>FtS<-_#2&3Kph6W`lT9O\ugSfCkB?hsViX<EYW9hiHgM1lWe4b5sfhn"8(;|
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4 ~A(3260950000^(1/4)=5*(2^4*7^2*11^3)^(1/4)*5^(~
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5 ~sb/_!!   }
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  |9}|
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5 ~Q
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  |h[NV9TX,0c1l]?.MSJAYm<3@aEmD/KD6%@YkM.uqH\X8X]k+ZiCU-%V].r(+|
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5 ~sb/_!!   }
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3 ~A(iFactor((3*x-2)*(2*x-5)*(8*x-3)*(7*x+4)))~p0
4 ~A(iFactor((3*x-2)*(2*x-5)*(8*x-3)*(7*x+4))=iFactor(~
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5 ~sb/^!!   }
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^ _~A(~
 iFactor((3*x-2)*(2*x-5)*(8*x-3)*(7*x+4))=(8*x-~
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  |2#I6<Rm6V;r8#P5l^(sGp:PKs"9hQ6ZPloZK/^LX0sc^$!RBS5XI330PlLda|
  |!(fUS7'8jaJcGcN|
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3 ~A((-9-sqrt(6))/5)~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})'# b'4["! (%" *^: ;bP7&c55*Start with|
  | Expand}_} ;bP8`g|
  |1%%|
  |55___|
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  |M,6r;%14!\!!!!.8Ou6I!!!!6!!!!6#Qau+!%)hD_#OH8oLVG:<-Xq(<5B0!|
  |0FTaB([)4-TUiqnc3VW<7UVPS@EsOfptG"XE*un-/OrD=<=SqjI*!5S1tbMo|
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  |E=ee?B4&?C,fPp^_GU_@RDb`\>c\'"Z/eA4+a(MuBF^c:,\Nau%F)@E(nSfb|
  |KGUtS%6)2<\'7"rjCZQf]3#G,d^-kE!aV+g;1:MdYX]M;Qd>YT5nZFTmJNE?|
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  | 8 H ^!  ^ 8 < 8 8     H|
  |9}|
  | ["! (,;bP7to skip steps,N AutoSimplify OFF,Z }_} ;bP8`g|
  |1%%|
  |54___|
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  |2#I6<Rm6V;r8#P5l^(sGp:PKs"9hQ6ZPloZK/^LX0sc^$!RBS5XI330PlLda|
  |!(fUS7'8jaJcGcN|
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  |9}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
5 ~A((-9-sqrt(6))/5=((-9)^2-6)/(5*(-9+sqrt(6))))~p0
5 ~A((-9-sqrt(6))/5=(81-6)/(5*(-9+sqrt(6))))~p0
6 ~sb/_!    }
"(   c#T"!c"\" c"L"_c/__c/__}
^ _~A(~
 (-9-sqrt(6))/5=75/(5*(-9+sqrt(6))))~p0
7 ~sb/_!    }
!(   c#T"!c"\" c"L"_c/__c/__}
^ _~A(~
 (-9-sqrt(6))/5=75/(-45+5*sqrt(6)))~p0
8 ~sb/_!    }
"(   c#T"!c"\"!c"H"_c/__c/__}
^ _~A(~
 (-9-sqrt(6))/5=75/(5*sqrt(6)-45))~p0
9 ~sb/_!    }
!(   c#T"!c"\"!c"L"_c/__c/__}
^ _~Q
]|Expr|[#b @`bb#_b#_b#_})+# b'4["! (+" *^: ;bP7&c55*Start with|
  | Transform to SEE STEPS}_}  ;bP8`g|
  |1%%|
  |33___|
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  |1%%|
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  |;bP7 ;bP9 }& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
5 ~A((-9-sqrt(6))/5=((-9-sqrt(6))*(-9+sqrt(6)))/~
 (5*(-9+sqrt(6))))~p0
5 ~A((-9-sqrt(6))/5=(-6-9*sqrt(6)+9*sqrt(6)+81)/~
 (5*(-9+sqrt(6))))~p0
6 ~sb/_!    }
"(   c#T"!c"\" c"H"_c/__c/__}
^ _~A(~
 (-9-sqrt(6))/5=75/(5*(-9+sqrt(6))))~p0
7 ~sb/_!    }
!(   c#T"!c"\" c"L$_c/__c/__}
^ _~A(~
 (-9-sqrt(6))/5=75/(-45+5*sqrt(6)))~p0
8 ~sb/_!    }
"(   c#T"!c"\"!c"H"_c/__c/__}
^ _~A(~
 (-9-sqrt(6))/5=75/(5*sqrt(6)-45))~p0
9 ~sb/_!    }
!(   c#T"!c"\"!c"L"_c/__c/__}
^ _~Q
]|Expr|[#b @`bb#_b#_b#_})*# b'4" *^: ;bP6&c55*13,N How To Rationalize|
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  | on very basic expressions}_}  ;bP8`g|
  |1%%|
  |44___|
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3 ~A(5/sqrt(3))~p0
4 ~A(5/sqrt(3)=5/3*sqrt(3))~p0
5 ~sb/^!    }
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  | if you do not want to see steps}_}  ;bP8`g|
  |1%%|
  |55___|
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3 ~A(5/(9-sqrt(6)))~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})'# b'4" *^: ;bP7&c55*AutoSimplify OFF|
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  |1%%|
  |54___|
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  |!(fUS7'8jaJcGcN|
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5 ~A(5/(9-sqrt(6))=(5*(9+sqrt(6)))/(9^2-6))~p0
5 ~A(5/(9-sqrt(6))=(5*sqrt(6)+45)/(9^2-6))~p0
6 ~sb/_!    }
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 5/(9-sqrt(6))=(5*sqrt(6)+45)/(81-6))~p0
7 ~sb/_!    }
"(   c#T"!c"\"!c"L"_c/__c/__}
^ _~A(~
 5/(9-sqrt(6))=(5*sqrt(6)+45)/75)~p0
8 ~sb/_!    }
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^ _~Q
]|Expr|[#b @`bb#_b#_b#_})'# b'4" *^: ;bP7&c55*AutoSimplify ON|
  |,Z  ;bP8`g|
  |1%%|
  |53___|
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  ||
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5 ~A(5/(9-sqrt(6))=1/15*(sqrt(6)+9))~p0
5 ~Q
]|Expr|[#b @`bb#_b#_b#_})'# b'4" *^: ;bP7&c55*AutoSimplify OFF|
  |,Z  ;bP8`g|
  |1%%|
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5 ~A(9/(4*i-8))~p0
5 ~A(9/(4*i-8)=(9*(-8-4*i))/((-8)^2+4^2))~p0
6 ~A(9/(4*i-8)=(-72-36*i)/(64+16))~p0
7 ~sb/_!    }
"(   c#T"!c"\" c"H"_c/__c/__}
"(   c#T"!c"\"!c"L"_c/__c/__}
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8 ~sb/_!    }
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  |1%%|
  |33___|
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  |9}|
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  |54___|
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4 ~Q
]|Expr|[#b @`bb#_b#_b#_}),# b'4["! (!" *^: ;bP6&c55*click}_} |
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  |1%%|
  |44___|
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  |"X@g[\:M\3gV8X%h1gbWN3U*T0bTTtA*+G;k>(=-b\RPn%u:K'%A$ac;CVf;|
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  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
5 ~A(5/(9+sqrt(6))=(5*(9-sqrt(6)))/((9+sqrt(6))*~
 (9-sqrt(6))))~p0
5 ~A(5/(9+sqrt(6))=(-5*sqrt(6)+45)/((9+sqrt(6))*~
 (9-sqrt(6))))~p0
6 ~sb/_!    }
"(   c#T"!c"\" c"H"_c/__c/__}
^ _~A(~
 5/(9+sqrt(6))=(-5*sqrt(6)+45)/(-6-9*sqrt(6)+9*~
 sqrt(6)+81))~p0
7 ~sb/_!    }
"(   c#T"!c"\"!c"H"_c/__c/__}
^ _~A(~
 5/(9+sqrt(6))=(-5*sqrt(6)+45)/75)~p0
8 ~sb/_!    }
!(   c#T"!c"\"!c"L$_c/__c/__}
^ _~Q
]|Expr|[#b @`bb#_b#_b#_})4# b'4" *^: ;bP6&c55*14,N How to Complete|
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2 ~A(4*x^2-9*x+2)~p0
3 ~A(x^2-7*x+16)~p0
3 ~Q
]|Expr|[#b @`bb#_b#_b#_})*# b'4["! (#" *^: ;bP6&c55*Use Transform}|
  |_}  ;bP8`g|
  |1%%|
  |33___|
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  |+UCJ1ZT!IliLN(EF!g`L6<Vq-@ak/$^iRH![@\]gY?cm=I'H2AlE4&1+u9To|
  |&LfH7R^!JS,%``A%qJdJ0di#.VQ/%gbQ+e/1[.rF"[GK/'>Sul^>>FOgE)b&|
  |@mjaoXnNme>Bt=aAbq>BQfeLebfoum27\.]qG[p*o!:MCNo_*NUsE(PJil0Z|
  |dPLei,4YrD-_$`b"0`+4!!!!j78?7R6=>BF|
  |2b!,b!,|
  |___Q___M__W%__[S__\A_?^M_'_3_A_C_@_1/ X%_!^5_!_Q_P_Q?\_5/__E|
  |G__A[__O___I___M|
  |9}|
  | ["! (#;bP6AutoSimplify ON}_} ;bP8`g|
  |1%%|
  |53___|
  |3b$Lb#N|
  |M,6r;%14!\!!!!.8Ou6I!!!!6!!!!4#Qau+!:VPeg].<S[7NbP<-Xq`PYi'G|
  |0F1(uN]5rmj@mgdQ8?o!=sfqWmH@XId<W$+(EGGYa4W5SgM(ZWrk,[V_KZ$:|
  |!*A@`],j/#Wqosn68It#:3lp9/4n6MK]M3$<I=1AbdQ(jjCA0V4b086fS^"\|
  |<Ab92/X1cCJ#k$0F&W^6A_o`q9mfqX%PAseF]<d8cC#jhL'u?,IGBO4R+Y$I|
  |!eB?Wd!C0Z]6jmPlQC[pnJrBbONk!-Iic_UYJk,JS_jDI!!#SZ:.26O@"Npi|
  ||
  |2b!,b!,|
  |   P   X       @   X   @   @000@000XP08P@08(@X)H@Y)@ Q,X@7>(|
  |@'.P #$@ " @   X|
  |9}|
  |;bP6 ;bP8 }& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
3 ~A(4*x^2-9*x+2=4*(x-9/8)^2-49/16)~p0
4 ~A(x^2-7*x+16=(x-7/2)^2+15/4)~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})(# b'4" *^: ;bP6&c55*15,N Combining |
  |Rational Expressions}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
2 ~A(3/(x+2)-5/(x-6))~p0
3 ~Q
]|Expr|[#b @`bb#_b#_b#_})*# b'4["! (#" *^: ;bP6&c55*Use Transform}|
  |_}  ;bP8`g|
  |1%%|
  |33___|
  |3b$3b#;|
  |M,6r;%14!\!!!!.8Ou6I!!!!4!!!!4#Qau+!<"[HRfEEgU.Ia=<-Xq8P#2\k|
  |+UCJ1ZT!IliLN(EF!g`L6<Vq-@ak/$^iRH![@\]gY?cm=I'H2AlE4&1+u9To|
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  |dPLei,4YrD-_$`b"0`+4!!!!j78?7R6=>BF|
  |2b!,b!,|
  |___Q___M__W%__[S__\A_?^M_'_3_A_C_@_1/ X%_!^5_!_Q_P_Q?\_5/__E|
  |G__A[__O___I___M|
  |9}|
  | ["! (#;bP6AutoSimplify ON}_} ;bP8`g|
  |1%%|
  |53___|
  |3b$Lb#N|
  |M,6r;%14!\!!!!.8Ou6I!!!!6!!!!4#Qau+!:VPeg].<S[7NbP<-Xq`PYi'G|
  |0F1(uN]5rmj@mgdQ8?o!=sfqWmH@XId<W$+(EGGYa4W5SgM(ZWrk,[V_KZ$:|
  |!*A@`],j/#Wqosn68It#:3lp9/4n6MK]M3$<I=1AbdQ(jjCA0V4b086fS^"\|
  |<Ab92/X1cCJ#k$0F&W^6A_o`q9mfqX%PAseF]<d8cC#jhL'u?,IGBO4R+Y$I|
  |!eB?Wd!C0Z]6jmPlQC[pnJrBbONk!-Iic_UYJk,JS_jDI!!#SZ:.26O@"Nqt|
  ||
  |2b!,b!,|
  |   P   X       @   X   @   @000@000XP08P@08(@X)H@Y)@ Q,X@7>(|
  |@'.P #$@ " @   X|
  |9}|
  |;bP6 ;bP8 }& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
3 ~A(3/(x+2)-5/(x-6)=(3*(x-6)-5*(x+2))/((x-6)*(x+~
 2)))~p0
4 ~A(3/(x+2)-5/(x-6)=(-2*x-28)/((x-6)*(x+2)))~p0
5 ~sb/_!!   }
"(!  c#T"!c"\" c"L"_c/__c/__}
^ _~A(~
 3/(x+2)-5/(x-6)=(-2*(x+14))/((x-6)*(x+2)))~p0
6 ~sb/_!!   }
&(!  c#T"!c"\" c"L"_c/__c/__}
^ _~Q
]|Expr|[#b @`bb#_b#_b#_})!# b$@" *^: ;bP8&c0!*Declarations|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
0 ~V?v0 (r)~p0
1 ~V?v0 (Cr)~p0
1 ~V?v0 (b)~p0
1 ~V?f0 (FitLine)~p0
1 ~V?f0 (FitLineIntercept)~p0
1 ~V?f0 (FitLineSlope)~p0
1 ~V?v0 (Slope)~p0
1 ~V?v0 (yMax)~p0
1 ~V?v0 (yMin)~p0
1 ~V?v0 (xMax)~p0
1 ~V?v0 (xMin)~p0
1 ~V?v0 (m)~p0
1 ~V?v0 (x)~p0
1 ~V?v0 (y)~p0
1 ~V?m0 (Data)~p0
1 ~V?f145 (ElementsOf)~p0
1 ~V?c1 ('p)~p0
1 ~V?v0 (yDat)~p0
1 ~V?v0 (xDat)~p0
1 ~V?f0 (yAverage)~p0
1 ~V?f0 (xAverage)~p0
1 ~V?f146 (ColumnsOf)~p0
1 ~V?v0 (k)~p0
1 ~V?f0 (xySum)~p0
1 ~V?f0 (ySum)~p0
1 ~V?f0 (ySqSum)~p0
1 ~V?f0 (xSqSum)~p0
1 ~V?f144 (RowsOf)~p0
1 ~V?v0 (j)~p0
1 ~V?f0 (xSum)~p0
1 ~Q
]|Expr|[#b @`bb#_b#_b#_}`f#}))# b$@" *^: ;bP8&c0!*PLOT A SET |
  |OF DATA}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
0 ~Q
]|Expr|[#b @`bb#_b#_b#_}`f#})## b#6" *^: ;bP7&c0!*Intermediate|
  | Functions}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
1 ~A(xSum(?d)=Summation(j):(1):(RowsOf(?d))*?d_(~
 j,1))~p0
2 ~d~A(xSqSum(?d)=Summation(j):(1):(RowsOf(?d))*~
 ?d_(j,1)*?d_(j,1))~p0
3 ~d~A(ySqSum(?d)=Summation(j):(1):(RowsOf(?d))*~
 ?d_(j,2)^2)~p0
3 ~d~A(ySum(?d)=Summation(j):(1):(RowsOf(?d))*?d_~
 (j,2))~p0
3 ~d~A(xySum(?d)=Summation(j):(1):(RowsOf(?d))*(PiProduct(~
 ?d_(j,k)):(k):(1):(ColumnsOf(?d))))~p0
3 ~d~A(xAverage(?d)=(xSum(?d))/(RowsOf(?d)))~p0
3 ~d~A(yAverage(?d)=(ySum(?d))/(RowsOf(?d)))~p0
3 ~d~Q
]|Expr|[#b @`bb#_b#_b#_}`f#})## b#6" *^: ;bP7&c0!*Coefficient|
  | Functions}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
1 ~A(FitLineSlope(?d)=(xySum(?d)-(xSum(?d)*ySum(~
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 ?d))/(RowsOf(?d))))~p0
2 ~d~A(FitLineIntercept(?d)=yAverage(?d)-FitLineSlope(~
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3 ~d~Q
]|Expr|[#b @`bb#_b#_b#_}`f#})$# b#(" *^: ;bP8&c0!*Data set,Z|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
0 ~A(Data=(1,10;2,20;3,30;4,40;5,50;6,60;7,70;8,~
 80;9,90;10,100))~p0
0 ~d~Q
]|Expr|[#b @`bb#_b#_b#_}`fb#C})'# b%$`f }" *^: ;bP8&c55*`g|
  |1%%|
  |5*___|
  |3b"Eb""|
  |M,6r;%14!\!!!!.8Ou6I!!!!6!!!!+#Qau+!7^[nNrT.[8P)<9<-XqPOMM8(|
  |+:LSZo`)[BLEMIk'bTMDN2IjG!<>@t:ApY2?p[F/l0[gkWklDZff!*Y`oFpO|
  |ikl)[jCbZ(deiqQHj,e^+Tc;lL:.'^!!#SZ:.26O@"J@Y|
  |2b Hb H|
  |X/  __%HW_+ P_+H@_+HP_+H@_)0   @   0    |
  |9}|
  |`fb#C};bP7&c0!&Edit data here,N}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
255 ~Q
]|Expr|[#b @`bb#_b#_b#_}`f#})$# b%$" *^: ;bP8&c0!*Graphing Window|
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0 ~A(xMin=0)~p0
1 ~d~A(xMax=10)~p0
255 ~d~Q
]|Expr|[#b @`bb#_b#_b#_}`fb#C}))# b%$`f }" *^: ;bP8&c55*`g|
  |1%%|
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  |3b"Eb""|
  |M,6r;%14!\!!!!.8Ou6I!!!!6!!!!+#Qau+!7^[nNrT.[8P)<9<-XqPOMM8(|
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  |ikl)[jCbZ(deiqQHj,e^+Tc;lL:.'^!!#SZ:.26O@"J@Y|
  |2b Hb H|
  |X/  __%HW_+ P_+H@_+HP_+H@_)0   @   0    |
  |9}|
  |`fb#C};bP7&c0!&Edit window boundaries here,N|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
255 ~A(yMin=0)~p0
1 ~d~A(yMax=100)~p0
255 ~d~G1 1 228 466
1 1 3 5 10
(xMin...xMax):(yMin...~
 yMax):(?=0...2*'p):('p/5):(10)~Q
]|Expr|[#b @`bb#_b#_b#_})!# b#@" *^: ;bP8&c0!*Declarations|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
0 ~R8405120 ? (x,y):(y=bottom...top):(x=left...right):(~
 0)~p0
1 ~gc1 2 ? 0 -2458 -4096 0
65535 -2458 4096 0
~gc1 2 ? 0 -819 -4096 0
65535 -819 4096 0
~gc1 2 ? 0 819 -4096 0
65535 819 4096 0
~gc1 2 ? 0 2458 -4096 0
65535 2458 4096 0
~
 ~R8405120 ? (x,y):(x=left...right):(y=bottom...~
 top):(0)~p0
1 ~gc1 2 ? 0 -4096 -2458 0
65535 4096 -2458 0
~gc1 2 ? 0 -4096 -819 0
65535 4096 -819 0
~gc1 2 ? 0 -4096 819 0
65535 4096 819 0
~gc1 2 ? 0 -4096 2458 0
65535 4096 2458 0
~
 ~X2 8405120 (left,y):(y=bottom...top):(y)~p0
1 ~gc1 2 ? 0 -4096 -4096 0
65535 -4096 4096 0
~X1 8405120 (~
 x,bottom):(x=left...right):(x)~p0
1 ~gc1 2 ? 0 -4096 -4096 0
65535 4096 -4096 0
~V?c64 (~
 left)~p0
1 ~V?c65 (right)~p0
1 ~V?c66 (bottom)~p0
1 ~V?c67 (top)~p0
1 ~S17 ? 10027263 ? ? (Data_(k_127,1),Data_(k_127,~
 2)):(k_127=1...RowsOf(Data)):(6)~p0
0 ~gc-1 10 ? 0 -3277 -3277 0
8191 -2458 -2458 0
14563 -1638 -1638 0
21845 -819 -819 0
28216 0 0 0
36408 819 819 0
43690 1638 1638 0
51881 2458 2458 0
57343 3277 3277 0
65535 4096 4096 0
~t~p0
0 ~c2
3 28 -1 7 28 -1 2 28 -1 ~c1
4 28 -1 3 28 -1 ~c2
5 28 -1 4 28 -1 6 28 -1 ~c1
11 28 -1 10 28 -1 ~c1
12 28 -1 11 28 -1 ~c1
52 -1 51 -1 ~c1
55 -1 54 -1 ~c1
56 -1 55 -1 ~c1
68 -1 66 -1 ~c1
73 -1 72 -1 ~c1
74 -1 73 -1 ~c1
103 -1 102 -1 ~c1
106 -1 105 -1 ~c1
109 -1 108 -1 ~c1
119 -1 117 -1 ~c1
125 -1 123 -1 ~c1
129 -1 127 -1 ~c1
135 -1 133 -1 ~c1
139 -1 137 -1 ~c1
151 -1 149 -1 ~c1
155 -1 153 -1 ~c1
159 -1 157 -1 ~c1
163 -1 161 -1 ~c1
167 -1 165 -1 ~c1
177 -1 175 -1 ~c1
182 -1 181 -1 ~c1
183 -1 182 -1 ~c1
190 -1 189 -1 ~c1
191 -1 190 -1 ~c1
192 -1 191 -1 ~c1
193 -1 192 -1 ~c1
196 -1 195 -1 ~c1
197 -1 196 -1 ~c1
198 -1 197 -1 ~c1
199 -1 198 -1 ~c1
203 -1 202 -1 ~c1
208 -1 207 -1 ~c1
209 -1 208 -1 ~c1
210 -1 209 -1 ~c1
216 -1 215 -1 ~c1
217 -1 216 -1 ~c1
222 -1 221 -1 ~c1
223 -1 222 -1 ~c1
224 -1 223 -1 ~c1
235 -1 234 -1 ~c1
236 -1 235 -1 ~e