Services & ResourcesWolfram ForumsMathGroup Archive

[Date Index] [Thread Index] [Author Index]

A New User

• To: mathgroup at smc.vnet.net
• Subject: [mg29321] A New User
• From: "Jim-dars" <jim-dars at mediaone.net>
• Date: Wed, 13 Jun 2001 03:10:51 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

Hi All,

I have a problem of the form:

      (2+Sqrt(3))*(1+2*Sqrt(3))

I would like Mathematica to present the solution in the form (8 +
5*Sqrt(3)).

Of course, I realize I can calculate the two components.  However, since
this situation occurs repeatedly in a problem I'm solving, it would be very
convenient to have Mathematica display the answer directly.  In fact, if
Mathematica could provide me with a=8 and b=5 that would be even better.

My actual problem is of the form:

         (a+b*Sqrt(c))*(d+e*Sqrt(c))^k  = (f+g*Sqrt(c))

where a,b,c,d, and e are positive integers.  c is not a perfect square, but
may contain a square factor.
k is an integer such that -infinity < k < infinity.   It is desired to find
f and g.  (Actually, just g.)

Best wishes, Jim

• Follow-Ups:
  • Re: A New User
    • From: "peter lindsay" <plindsay@dcs.st-and.ac.uk>