# How do you rationalize and simplify 5 / ( sqrt 14 - 2 )?

You have to multiply numerator and denominator by: $\sqrt{14} + 2$, so:
$\frac{5}{\sqrt{14} - 2} \cdot \frac{\sqrt{14} + 2}{\sqrt{14} + 2} = \frac{5 \left(\sqrt{14} + 2\right)}{14 - 4} =$
$= \frac{5 \left(\sqrt{14} + 2\right)}{10} = \frac{\sqrt{14} + 2}{2}$.