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Re: Radicals simplify
*To*: mathgroup at smc.vnet.net
*Subject*: [mg106372] Re: [mg106361] Radicals simplify
*From*: Murray Eisenberg <murray at math.umass.edu>
*Date*: Mon, 11 Jan 2010 05:27:53 -0500 (EST)
*Organization*: Mathematics & Statistics, Univ. of Mass./Amherst
*References*: <201001100830.DAA05621@smc.vnet.net>
*Reply-to*: murray at math.umass.edu
But (x^6 y^3)^(1/4) *is* the correct answer, since from one viewpoint it
is simpler than the answer x(x^2 y^3)^(1/4) that you prefer. The issue
is the simplicity of the structure of the answer.
Evaluate the Depth, or even the TreeForm, of both answers, and you'll
see that the answer Mathematica gave you is in fact "simpler" in that it
has a depth of 4, whereas the one you prefer has a depth of 5.
When evaluating a Simplify, by default Mathematica uses a
ComplexityFunction that counts the subexpressions and digits of
integers. (But the documentation seems mute as to exactly how
Mathematica weighs those two things: just the sum of the two, or what?)
On 1/10/2010 3:30 AM, francix wrote:
> Hi,
> I am using Matematica 7 and need some help with Radicals.
>
> If I do
> Simplify[(x^4 y^3)^(1/4), x>= 0] I correctly have
>
> x (y^3)^(1/4)
>
> But If I do
>
> Simplify[(x^6 y^3)^(1/4), x>= 0] I get
>
> (x^6 y^3)^(1/4) and not the correct answer x(x^2 y^3)^(1/4)
>
> Thanks in advanced.
>
>
>
>
>
>
>
--
Murray Eisenberg murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower phone 413 549-1020 (H)
University of Massachusetts 413 545-2859 (W)
710 North Pleasant Street fax 413 545-1801
Amherst, MA 01003-9305
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