# How do you add 3sqrt8 + 5sqrt8??

Apr 13, 2018

$16 \sqrt{2}$

#### Explanation:

Since both expressions have the same number under the radical, we can add the two expressions:

$3 + 5 = 8$, so it becomes:
$8 \sqrt{8}$

If you want to simplify this further, you can radicalize $\sqrt{8}$.
$\implies 8 \sqrt{8}$

$\implies 8 \sqrt{4 \cdot 2}$

$\implies 8 \cdot 2 \sqrt{2}$

$\implies 16 \sqrt{2}$

Hope this helps!