# How do you simplify 2sqrt12 + 4sqrt27?

Apr 13, 2015

The answer is $16 \sqrt{3}$ .

In order to add numbers including square roots, the radicands (numbers under the radical) must be the same.

Simplify $2 \sqrt{12} + 4 \sqrt{27}$.

Factor the square roots.

$2 \left(\sqrt{4} \cdot \sqrt{3}\right) + 4 \left(\sqrt{9} \cdot \sqrt{3}\right)$ =

Simplify the square roots.

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

$4 \sqrt{3} + 12 \sqrt{3}$ =

$16 \sqrt{3}$