# How do you simplify  5sqrt3+2sqrt75?

Oct 4, 2016

$15 \sqrt{3}$

#### Explanation:

We have: $5 \sqrt{3} + 2 \sqrt{75}$

Let's break down $\sqrt{75}$:

$= 5 \sqrt{3} + 2 \sqrt{3 \cdot 25}$

$= 5 \sqrt{3} + 2 \cdot \sqrt{3} \cdot \sqrt{25}$

$= 5 \sqrt{3} + 2 \cdot \sqrt{3} \cdot 5$

$= 5 \sqrt{3} + 10 \sqrt{3}$

Now, let's collect the like terms:

$= 15 \sqrt{3}$