# How do you simplify 24/sqrt3?

Feb 15, 2017

$8 \sqrt{3}$

#### Explanation:

It is good mathematical practice to try and 'get rid' of any roots in the denominator.

color(green)(24/sqrt(3)color(red)(xx1)" " ->" " 24/sqrt(3)color(red)(xxsqrt(3)/sqrt(3)) " "=" "(24sqrt(3))/3

$\text{ "=24/3xxsqrt(3) " "=" } 8 \sqrt{3}$