# How do you simplify 2sqrt3+5sqrt3?

Jun 8, 2017

See a solution process below:

#### Explanation:

Factor the $\sqrt{3}$ out of each term to simplify:

$2 \sqrt{3} + 5 \sqrt{3} \implies \left(2 + 5\right) \sqrt{3} = 7 \sqrt{3}$

Jun 8, 2017

$7 \sqrt{3}$

#### Explanation:

In order to combine radicals, the indexes and radicands must math. I think of the radicand as a variable. $5 x + 3 y$ can't be combined, and neither can $5 \sqrt{3} + 3 q r t 2$

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

So, the indexes match and the radicands match, so we add the whole numbers:

$\textcolor{red}{2} \sqrt{3} + \textcolor{red}{5} \sqrt{3}$

$7 \sqrt{3}$