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Re: Problems with simplify and Sqrt[a^2]
 To: mathgroup at smc.vnet.net
 Subject: [mg73941] Re: Problems with simplify and Sqrt[a^2]
 From: Bhuvanesh <lalu_bhatt at yahoo.com>
 Date: Sat, 3 Mar 2007 01:13:31 0500 (EST)
Sqrt[a^2] is equal to a only for Re[a]>0; for Re[a]<0 it is a. So Mathematica is being careful and not making assumptions that could end up giving a wrong result. You can get what you want by using PowerExpand.
In[1]:= PowerExpand[v3/Sqrt[v1^2]/Sqrt[v2^2]  v3/v1/v2]
Out[1]= 0
Another way is to use Simplify (or FullSimplify) with assumptions: Simplify[expression, v1>0 && v2>0 && ...]
Bhuvanesh,
Wolfram Research.
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