# How do you simplify 3 timessqrt 24?

Feb 3, 2016

$6 \sqrt{6}$

#### Explanation:

to simplify $\sqrt{24}$

use the law of indices : $\sqrt{a} \times \sqrt{b} = \sqrt{a} b \Leftrightarrow \sqrt{a} b = \sqrt{a} \times \sqrt{b}$

look for factors of 24 , and in particular ' squares ' → 4 , 6

hence $\sqrt{24} = \sqrt{4} \times \sqrt{6} = 2 \sqrt{6}$

$\Rightarrow 3 \times \sqrt{24} = 3 \times 2 \sqrt{6} = 6 \sqrt{6}$