Simplifying fractions with radicals?



I recently had this expression:

(4715*7^(3/2)+87472) / (59460*sqrt(7)+157710)

returned as the solution to a set of non-linear equations.  Now
by multiplying numerator and denominator by

59460*sqrt(7)-157710

and simplifying with radcan, this expression simplifies to

(\sqrt(7)+14)/30

which is far simpler.  But is there any more direct way of simplifying such
an expression?  Or, is there any way of obtaining the expression

59460*sqrt(7)-157710

from the original output, without either copying or pasting, or fiddling
about with parts of expressions?  I mean, if

b:(4715*7^(3/2)+87472) / (59460*sqrt(7)+157710);

then I could write

c:part(b,2,1)-part(b,2,2);

and then

radcan(radcan(num(b)*c)/radcan(denom(b)*c));

This works fine - but I'm wondering if there's a more direct way.

-- 
Blog: http://amca01.wordpress.com
Web:  http://sites.google.com/site/amca01/
Facebook: http://www.facebook.com/alasdair.mcandrew