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Re: Expanding a Square Root
*To*: mathgroup at smc.vnet.net
*Subject*: [mg50820] Re: [mg50813] Expanding a Square Root
*From*: Andrzej Kozlowski <andrzej at akikoz.net>
*Date*: Wed, 22 Sep 2004 02:27:37 -0400 (EDT)
*Sender*: owner-wri-mathgroup at wolfram.com
On 22 Sep 2004, at 13:11, Jim Dars wrote:
> Hi All,
>
> I should point out that I use Mathematica 4.0 infrequently, thus I may
> be
> missing the obvious. My problem is as follows:
>
> In the following I use the square root sign from the palette for SQRT
> Expand[(44+9*SQRT(23))^2] yields
> 3799 + 792*SQRT(23)
>
> I now wish to take the square root of 3799 + 792*SQRT(23) to return
> to my
> original expression. However
>
> Expand[SQRT(3799 + 792*SQRT(23))] merely yields
>
> [SQRT(3799 + 792*SQRT(23))]
>
> What is the proper command to make SQRT(3799 + 792*SQRT(23)) yield
> 44+9*SQRT(23)
>
> Best wishes, Jim
>
>
>
RootReduce[Sqrt[3799 + 792*Sqrt[23]]]
44 + 9*Sqrt[23]
You can of course also use FullSimplify instead of RootReduce but
FullSimplify just calls RootReduce to do the job.
Andrzej Kozlowski
Chiba, Japan
http://www.akikoz.net/~andrzej/
http://www.mimuw.edu.pl/~akoz/
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