Answer
$\frac{\sqrt {14}+2}{2}$
Work Step by Step
$\frac{5}{\sqrt {14}-2}=\frac{5}{\sqrt {14}-2}\frac{\sqrt {14}+2}{\sqrt {14}+2}=\frac{5\sqrt {14}+5\times2}{\sqrt {14}\sqrt {14}+\sqrt {14}(2)-2\sqrt {14}-2\times2}=\frac{5\sqrt {14}+10}{(\sqrt {14})^2-4}=\frac{5\sqrt {14}+10}{14-4}=\frac{5\sqrt {14}+10}{10}=\frac{5(\sqrt {14}+2)}{5\times2}=\frac{\sqrt {14}+2}{2}$
