Question

Rationales the denominator and simplify:
$\frac{2\sqrt{3}-\sqrt{5}}{2\sqrt{2}+3\sqrt{3}}$

Answer 1

$\frac{2\sqrt{3}-\sqrt{5}}{2\sqrt{2}+3\sqrt{3}}\ast \frac{2\sqrt{2}-3\sqrt{3}}{2\sqrt{2}-3\sqrt{3}}=\frac{4\sqrt{6}-2\sqrt{10}-6\ast 3+3\sqrt{15}}{8-27}=\frac{-4\sqrt{6}+2\sqrt{10}+6\ast 3-3\sqrt{15}}{19}$