I get a lot of expressions of the type
-(((11 + z) (13 - z + Sqrt[25 - 26 z + z^2]))/( 6 (-11 - z + Sqrt[25 - 26 z + z^2]) (7 - z + Sqrt[25 - 26 z + z^2])))
Which contain radicals in
z but are in fact rational functions of
z (a-priori). In this case
(11 + z)/(24 + 12 z)
FullSimplify can find the rational expression, but in more complicated cases they can not. Is there an elegant way to eliminate radicals from an arbitrary expression of this type? I could try to cook up an ansatz for the rational function based on power counting in
z or something like that, but maybe there is a ready solution?