\[ \frac{3 + 2\sqrt{3}}{\sqrt{3}} + \frac{2 + \sqrt{2}}{\sqrt{2}+1} - \left(\sqrt{2} + \sqrt{3}\right) \]

\[
\frac{3 + 2\sqrt{3}}{\sqrt{3}} + \frac{2 + \sqrt{2}}{\sqrt{2}+1} - \left(\sqrt{2} + \sqrt{3}\right)
\]