\[\frac{17}{\sqrt{39} + \sqrt{5}} =\]
\[= \frac{17 \cdot \left( \sqrt{39} - \sqrt{5} \right)}{\left( \sqrt{39} + \sqrt{5} \right)\left( \sqrt{39} - \sqrt{5} \right)} =\]
\[= \frac{17 \cdot \left( \sqrt{39} - \sqrt{5} \right)}{39 - 5} =\]