Simplify and Square Root Ratios
- To: mathgroup at smc.vnet.net
- Subject: [mg42146] Simplify and Square Root Ratios
- From: Blimbaum Jerry DLPC <BlimbaumJE at ncsc.navy.mil>
- Date: Fri, 20 Jun 2003 04:57:42 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Just a comment on result i got with Simplify and Square roots.....4.2
version....
Surprizng behavior (to me anyway) of Simplify for putting variables in
Square Roots together (FullSimplify gives same result):
expr1 = Sqrt[a+c] / Sqrt[b]
Simplify[expr1,{ a>0,b>0}] outputs Sqrt[(a+c)/b].....as I wanted
and expected...
but
Simplify[expr1,{ a>0,b>0,c>0}] outputs 1/ Sqrt[b/(a+c)].......which,
of course, surprized me.....
and
expr2 = Sqrt[a+b] / Sqrt[b]
Simplify[expr2,{ a>0,b>0}] outputs 1/ Sqrt[b/(a+b)].......which
also surprized me.....
Jerry Blimbaum