# How do you simplify sqrt 8 + sqrt 15?

Jul 19, 2018

$2 \sqrt{2} + \sqrt{15}$

#### Explanation:

Let's see if we can factor a perfect square out of the radicals.

We can rewrite this expression as

$\sqrt{4 \cdot 2} + \sqrt{5 \cdot 3}$

This simplifies to

$2 \sqrt{2} + \textcolor{b l u e}{\sqrt{5 \cdot 3}}$

Since there are no perfect square factors in $3$ or $5$, the blue expression would be most simplified as $\sqrt{15}$.

$2 \sqrt{2} + \sqrt{15}$

Hope this helps!