Ответ:
\[\frac{x + 6}{\sqrt{x + 10} - 2} =\]

\[= \frac{(x + 6) \cdot \left( \sqrt{x + 10} + 2 \right)}{x + 10 - 4} =\]

\[= \sqrt{x + 10} + 2\]
\[\frac{x + 6}{\sqrt{x + 10} - 2} =\]

\[= \frac{(x + 6) \cdot \left( \sqrt{x + 10} + 2 \right)}{x + 10 - 4} =\]

\[= \sqrt{x + 10} + 2\]