Lösung 3.1:5d
Aus Online Mathematik Brückenkurs 1
We can get rid of both square roots in the denominator if we multiply the top and bottom of the fraction by the conjugate expression \displaystyle \sqrt{17}+\sqrt{13}, and use the difference of two squares
with \displaystyle a=\sqrt{17} and \displaystyle b=\sqrt{13}. Both roots are squared away and we get
This expression cannot be simplified any further because neither 17 nor 13 contain any squares as factors.