# How do you simplify -2sqrt96?

Sep 12, 2016

$- 2 \sqrt{96} = - 8 \sqrt{6}$

#### Explanation:

$- 2 \sqrt{96} = - 2 \sqrt{2 \times 48}$ $=$ $- 2 \sqrt{2 \times 4 \times 12}$

$=$ $- 2 \sqrt{2 \times 4 \times 4 \times 3}$

$=$ $- 2 \sqrt{2 \times {4}^{2} \times 3}$

$=$ $- 8 \sqrt{2 \times 3}$

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