# How do you simplify 9sqrt4 - 6sqrt24 + sqrt36?

Apr 30, 2018

$= 18 - 12 \sqrt{6} + 6$
$= 24 - 12 \sqrt{6}$
$\approx 24 - 12 \left(2.449\right) \approx 24 - 29.393 \approx - 5.393$

#### Explanation:

$\sqrt{4}$ is $2$
$\sqrt{36}$ is $6$
$6 \sqrt{24} = 6 \sqrt{6 \times 4} = 6 \sqrt{4} \sqrt{6} = 12 \sqrt{6}$