How do you simplify 2/the square root of 5?

Sep 15, 2015

The best you can do is to rationalize the denominator
$\frac{2}{\sqrt{5}} = \frac{2}{5} \sqrt{5}$

Explanation:

$\frac{2}{\sqrt{5}}$

$= \frac{2}{\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}}$

$= \frac{2 \sqrt{5}}{{\left(\sqrt{5}\right)}^{2}}$

$= \frac{2 \sqrt{5}}{5}$

$= \frac{2}{5} \sqrt{5}$