Rationalizing a Fraction in Radicals



On Wed, Mar 6, 2013 at 12:38 AM, Bill Wood <william.wood3 at comcast.net>wrote:

> So I got this expression
>     (45+3*sqrt(229))/(17+sqrt(229))
> that I want to rationalize.  radcan did nothing, and I found that the
> simplifier was too smart for me -- when I tried multiplying by 1 in the
>

It's not obvious, but this does it:

ratsimp((45+3*sqrt(229))/(17+sqrt(229))),algebraic;
-> (sqrt(229)+13)/10

Ray