AHSME 1952 Problem 35

With a rational denominator, the expression $\frac {\sqrt {2}}{\sqrt {2} + \sqrt {3} - \sqrt {5}}$ is equivalent to: $\textbf{(A)}\ \frac {3 + \sqrt {6} + \sqrt {15}}{6} \textbf{(B)}\ \frac {\sqrt {6} - 2 + \sqrt {10}}{6} \textbf{(C)}\ \frac{2+\sqrt{6}+\sqrt{10}}{10} \\ \textbf{(D)}\ \frac {2 + \sqrt {6} - \sqrt {10}}{6} \textbf{(E)}\ \text{none of these}$