# How do you simplify the expression sqrt(1/5)-sqrt5?

$\sqrt{\frac{1}{5}} - \sqrt{5} = \frac{1}{\sqrt{5}} - \sqrt{5} = \frac{1}{\sqrt{5}} \setminus \cdot \setminus \frac{\sqrt{5}}{\sqrt{5}} - \sqrt{5} = \setminus \frac{\sqrt{5}}{5} - \sqrt{5} = \frac{\sqrt{5} - 5 \sqrt{5}}{5} = \frac{- 4 \sqrt{5}}{5}$