\[\frac{10}{\sqrt{14} - 2} = \frac{10 \cdot \left( \sqrt{14} + 2 \right)}{\left( \sqrt{14} - 2 \right)\left( \sqrt{14} + 2 \right)} =\]
\[= \frac{10 \cdot \left( \sqrt{14} + 2 \right)}{14 - 4} = \frac{10 \cdot \left( \sqrt{14} + 2 \right)}{10} =\]
\[= \sqrt{14} + 2\]