# How do you simplify (4sqrt6)/ sqrt30?

$4 \frac{\sqrt{6}}{\sqrt{30}} = 4 \frac{\sqrt{6}}{\sqrt{6 \cdot 5}} = 4 \frac{\sqrt{6}}{\sqrt{6} \sqrt{5}} =$
$= \frac{4}{\sqrt{5}} =$ rationalizing you get:
$= \frac{4}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}} = 4 \frac{\sqrt{5}}{5}$