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Re: Simplfying inside Sqrt

• To: mathgroup at smc.vnet.net
• Subject: [mg55122] Re: Simplfying inside Sqrt
• From: Peter Pein <petsie at arcor.de>
• Date: Sun, 13 Mar 2005 04:57:40 -0500 (EST)
• References: <d0u7bj$kph$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

billkavanagh at gmail.com wrote:

> Hi
> 
> I'm wondering how to tell mathematica that I want terms like
> Sqrt[x^2+x^4] to be x*Sqrt[1+x^2].   I have an expression with a few
> terms like this in it so manually inserting a
> PowerExpand[Sqrt[Expand[x^2+x^4]] is no good to me.
> 
> I've tried a general PowerExpand and Simplify with a Im[x]==0 around
> the whole expression but with no luck.
> 
> Does anybody know how to do this?
> 
> Thanks,
> Bill
> 
> --
> William R. Kavanagh
> http://www.physics.mun.ca/~wkavanag
> 
There /has/ to be something more simple than

Simplify[#1, x >= 0] &  /@
  (Sqrt[x^2 + x^4] /. (a_)^(b_) :> (#1^b & ) /@ Factor[a])

but I don't see it at the moment.

-- 
Peter Pein
Berlin

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