Maxima 5.9.1 vs MuPAD 2.5.3



Even more fun:
(algebraic:true, ratsimp(2/(25^(1/3)+15^(1/3)+9^(1/3))));

The short answer is obviously 5^(1/3)-3^(1/3). Maxima gives

-((33*9^(1/3)*15^(2/3)+6*9^(2/3)*15^(1/3)-593)*25^(2/3) 
+(-39*9^(2/3)*15^(2/3)+539*15^(1/3)+98*9^(1/3))*25^(1/3)-188*15^(2/3)
-637*9^(1/3)*15^(1/3)+487*9^(2/3))/6631

--
Andrei Zorine

Barton Willis wrote:
> To simplify (2+sqrt(5))/(4+3*sqrt(5)) --> (2*sqrt(5)+7)/29, use
> ratsimp with algebraic set to true.
> 
> (%i1) e : (2+sqrt(5))/(4+3*sqrt(5))$
> (%i2) algebraic : true$
> (%i3) ratsimp(e);
> (%o3) (2*sqrt(5)+7)/29
> (%i4) algebraic : false$
> (%i5) ratsimp(e);
> (%o5) (sqrt(5)+2)/(3*sqrt(5)+4)
> 
> Barton
> 
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