Re: Radicals simplify

*To*: mathgroup at smc.vnet.net*Subject*: [mg106399] Re: Radicals simplify*From*: "francix" <fracix at hotmail.com>*Date*: Mon, 11 Jan 2010 18:52:01 -0500 (EST)*References*: <hic37h$5ef$1@smc.vnet.net> <hieujs$mtu$1@smc.vnet.net>

"dh" <dh at metrohm.com> ha scritto nel messaggio news:hieujs$mtu$1 at smc.vnet.net... > > > Hi, > > why do you think x(x^2 y^3)^(1/4) is simpler than (x^6 y^3)^(1/4)? > > Mathematica needs some criterion for this decision. The default criterion is the > > "LeafCount[..]". If that does not suit you, you must define another > > criterion. > > Daniel Thank you all for your answer. I understand your explanations, but I have the impression that in this case Mathematica uses numbers in a different way from letters. If I do Simplify[2 Sqrt[2] + 4 Sqrt[2]] I get 6 Sqrt[2] or Simplify[5 Sqrt[50] + 6 Sqrt[18]] I get 43 Sqrt[2] Instead if I do Simplify[5 x Sqrt[x] + 6 x Sqrt[x], x >= 0] or Simplify[5 Sqrt[x^3] + 6 x Sqrt[x], x >= 0] I get 11 x^(3/2) instead of 11xSqrt[x] As you know the last one is the result normally found in Algebra books. So, there is no solution?

**Follow-Ups**:**Re: Re: Radicals simplify***From:*Andrzej Kozlowski <akoz@mimuw.edu.pl>