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Re: rationalize numerator of quotient

• To: mathgroup at smc.vnet.net
• Subject: [mg81164] Re: rationalize numerator of quotient
• From: dimitris <dimmechan at yahoo.com>
• Date: Fri, 14 Sep 2007 03:40:07 -0400 (EDT)
• References: <fcb3ok$fjj$1@smc.vnet.net>

On 13     , 13:35, Murray Eisenberg <mur... at math.umass.edu> wrote:
> I have a quotient such as:
>
>    (Sqrt[x] - 2)/(x-4)
>
> I want to "rationalize the numerator" by multiplying numerator and
> denominator each by Sqrt[x] + 2 so as to obtain result:
>
>    1/(Sqrt[x]+2)
>
> How?
>
> --
> Murray Eisenberg                     mur... at math.umass.edu
> Mathematics & Statistics Dept.
> Lederle Graduate Research Tower      phone 413 549-1020 (H)
> University of Massachusetts                413 545-2859 (W)
> 710 North Pleasant Street            fax   413 545-1801
> Amherst, MA 01003-9305

In[24]:=
Simplify[(Sqrt[x] - 2)/(x - 4)]

Out[24]=
1/(2 + Sqrt[x])

In[25]:=
Factor[(Sqrt[x] - 2)/(x - 4)]

Out[25]=
1/(2 + Sqrt[x])

???