Re: Simplifying Expressions containing SQRT

• To: mathgroup at smc.vnet.net
• Subject: [mg3158] Re: Simplifying Expressions containing SQRT
• From: danl (Daniel Lichtblau)
• Date: Fri, 9 Feb 1996 03:01:35 -0500
• Organization: Wolfram Research, Inc.
• Sender: owner-wri-mathgroup at wolfram.com

In article <4f4hsq\$cpu at dragonfly.wolfram.com>
lieres at studm.hrz.uni-siegen.de (Eric von Lieres) writes:
> Hi everybody!
>
> Strange things do happen!
>
> Mathematica4s ability to simplify equitations containing square roots
> seems to be quite weak. Perhaps I just do not know enough about these
> things, but I did read the manual. An example:
>
>              Sqrt [ R ( R - x ) ] Sqrt [ ( R - x ) x ] / ( R x - R^2 )
>
>
> equals Sqrt[ R / x ], but I can4t get Mathematica figure that out.
>
> I tried PowerExpand, Factor, Collect, Simplify and almost everything
> else in various orders. Nothing worked! What can I do?
>
> I do appreciate every helpful hint. Thank you very much.
>
>
> Eric von Lieres                         lieres at studm.hrz.uni-siegen.de
>
> ------------------------------------------------------------
> Eric von Lieres               lieres at studm.hrz.uni-siegen.de
>

They seem not to be equal.

In[7]:= Sqrt [ R ( R - x ) ] Sqrt [ ( R - x ) x ] / ( R x - R^2 ) - Sqrt[
R / x ] /. {R->-1, x->1}

Out[7]= -2 I

Daniel Lichtblau
Wolfram Research, Inc.
danl at wolfram.com

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