1950 AHSME Problem 10

After rationalizing the numerator of \frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}}, the denominator in simplest form is:

\begin{array}{l} \textbf{(A)}\ \sqrt{3}(\sqrt{3}+\sqrt{2})\qquad\textbf{(B)}\ \sqrt{3}(\sqrt{3}-\sqrt{2})\qquad\textbf{(C)}\ 3-\sqrt{3}\sqrt{2}\qquad\\ \textbf{(D)}\ 3+\sqrt6\qquad\textbf{(E)}\ \text{None of these answers} \end{array}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.