Answer
$ \displaystyle \frac{6\sqrt{5}}{5}$
Work Step by Step
Rationalize $\displaystyle \frac{1}{\sqrt{5}}$
$\displaystyle \frac{1}{\sqrt{5}} \color{red}{ \cdot\frac{\sqrt{5}}{\sqrt{5}} }=\frac{\sqrt{5}}{5}$
$\displaystyle \sqrt{5}+ \frac{1}{\sqrt{5}}=\frac{\sqrt{5}}{1}+\frac{\sqrt{5}}{5}=\frac{5\cdot\sqrt{5}+\sqrt{5}}{5}$
$=\displaystyle \frac{6\sqrt{5}}{5}$
