\[\frac{41}{\sqrt{47} - \sqrt{6}} =\]
\[= \frac{41 \cdot \left( \sqrt{47} + \sqrt{6} \right)}{\left( \sqrt{47} - \sqrt{6} \right)\left( \sqrt{47} + \sqrt{6} \right)} =\]
\[= \frac{41 \cdot \left( \sqrt{47} + \sqrt{6} \right)}{47 - 6} =\]