# How do you simplify 3sqrt8?

Mar 22, 2018

$6 \sqrt{2}$

#### Explanation:

The square root of $8$ is like the square root of $4$ times $2$.

$3 \sqrt{8} = 3 \sqrt{4 \times 2}$

The square root of $4$ is $2$ so you multiply $3$ by $2$ and leave the other $2$ in the square root.

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

You are then left with $6$ times the square root of $2$.

$6 \sqrt{2}$