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RE: rationalize numerator of quotient

• To: mathgroup at smc.vnet.net
• Subject: [mg81139] RE: [mg81125] rationalize numerator of quotient
• From: "Jaccard Florian" <Florian.Jaccard at he-arc.ch>
• Date: Fri, 14 Sep 2007 03:27:07 -0400 (EDT)
• References: <200709131027.GAA15783@smc.vnet.net>

In your example, Simplify does it!

In[1]:= Simplify[(Sqrt[x] - 2)/(x - 4)]

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


Regards

Florian Jaccard


-----Message d'origine-----
De=A0: Murray Eisenberg [mailto:murray at math.umass.edu]
Envoy=E9=A0: jeudi, 13. septembre 2007 12:28
=C0=A0: mathgroup at smc.vnet.net
Objet=A0: [mg81125] rationalize numerator of quotient

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                     murray 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

• References:
  • rationalize numerator of quotient
    • From: Murray Eisenberg <murray@math.umass.edu>