How do you simplify sqrt 16 + 3sqrt8?

May 30, 2018

$4 + 6 \sqrt{2}$

Explanation:

Given: $\sqrt{16} + 3 \sqrt{8}$.

Notice how $\sqrt{16} = 4 , \sqrt{8} = 2 \sqrt{2}$.

$= 4 + 3 \cdot 2 \sqrt{2}$

$= 4 + 6 \sqrt{2}$