$\begin{align}  & \frac{2\sqrt{3}+\sqrt{5}}{\sqrt{5}-\sqrt{3}}=\frac{2\sqrt{3}+\sqrt{5}}{\sqrt{5}-\sqrt{3}}\times \frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}+\sqrt{3}} \\ & =\frac{2\sqrt{15}+5+6+\sqrt{15}}{5-3} \\ & =\frac{3\sqrt{15}+11}{2} \\\end{align}$