# How do you simplify 8/sqrt6?

Jun 26, 2018

$\frac{4 \sqrt{6}}{3}$

#### Explanation:

Rationalise by multiplying by the denominator:

$\frac{8}{\sqrt{6}} \times \frac{\sqrt{6}}{\sqrt{6}}$

$\sqrt{6} \times \sqrt{6} = 6$

$= \frac{8 \sqrt{6}}{6}$

$= \frac{4 \sqrt{6}}{3}$

By dividing each top and bottom by 2