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Re: Problems with simplify and Sqrt[a^2]

• To: mathgroup at smc.vnet.net
• Subject: [mg73958] Re: Problems with simplify and Sqrt[a^2]
• From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
• Date: Sat, 3 Mar 2007 01:22:38 -0500 (EST)
• Organization: Uni Leipzig
• References: <es907e$2b4$1@smc.vnet.net>
• Reply-to: kuska at informatik.uni-leipzig.de

Hi,

a) Sqrt[v^2] is Abs[v] and not v
b) FullSimplify[Sqrt[v^2],v>0 && Element[v,Reals]]

will do it.

Regards
   Jens

dshortho wrote:
> any help on this one:
> 
> if you type in:
> v3/Sqrt[v1^2]/Sqrt[v2^2] - v3/v1/v2
> 
> you get the same expression
> 
> Even if you then type
> Simplify[%]
> 
> you still get the same expression
> 
> I would have thought Mathematica would have resolved Sqrt[v1^2] to v1 (!?)
> 
> Does anyone out there know why it does not do this, as it is causing some problems with some proofs I am doing ?
>