# How do you simplify 4sqrt3+6sqrt12?

Jul 25, 2018

$16 \sqrt{3}$

#### Explanation:

$4 \sqrt{3} + 6 \sqrt{12}$

$= 4 \sqrt{3} + 6 \sqrt{4 \cdot 3}$

$= 4 \sqrt{3} + 6 \sqrt{4} \sqrt{3}$

$= 4 \sqrt{3} + 6 \cdot 2 \sqrt{3}$

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

$= 16 \sqrt{3}$

Jul 28, 2018

$16 \sqrt{3}$

#### Explanation:

$\sqrt{12}$ is the same as $\sqrt{4} \cdot \sqrt{3}$, or $2 \sqrt{3}$. With this in mind, we can rewrite this as

$4 \sqrt{3} + 6 \cdot 2 \sqrt{3}$

This further simplifies to

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

Since both terms have a $\sqrt{3}$ in common, we can combine them to get

$16 \sqrt{3}$

Hope this helps!