# How do you simplify 5sqrt6 + 2sqrt10?

##### 1 Answer
Jun 27, 2016

$5 \sqrt{6} + 2 \sqrt{10}$ can be written as $\sqrt{5} \cdot \sqrt{5} \cdot \sqrt{2} \cdot \sqrt{3} + 2 \cdot \sqrt{2} \cdot \sqrt{5}$

Taking the common factors outside, we get

$\sqrt{5} \cdot \sqrt{2} \left(\sqrt{5} \cdot \sqrt{3} + 2\right)$

= $\sqrt{10} \left(2 + \sqrt{15}\right)$