Question

Rationalize the denominator $\frac{1}{\sqrt{5}+\sqrt{6}-\sqrt{11}}$

Answer 1

$\frac{1}{\sqrt{5}+\sqrt{6}-\sqrt{1}1}\times \frac{\sqrt{5}+\sqrt{6}+\sqrt{1}1}{\sqrt{5}+\sqrt{6}+\sqrt{1}1}$

$=\frac{\sqrt{5}+\sqrt{6}+\sqrt{1}1}{2\sqrt{3}0}=\frac{\sqrt{3}0}{60}(\sqrt{5}+\sqrt{6}+\sqrt{1}1)$