# How do you simplify 6(square root of 2) + 10(square root of 8)?

Sep 17, 2015

$6 \sqrt{2} + 10 \sqrt{8} = 26 \sqrt{2}$

#### Explanation:

Square roots are be simplified by taking out any perfect squares, leaving just the smallest possible whole number under the square root. $\sqrt{2}$ can not be simplified further, but $\sqrt{8}$ can.

We simplify the second term of the expression to:
$10 \sqrt{8} = 10 \sqrt{4 \cdot 2} = 10 \sqrt{4} \sqrt{2} = 10 \cdot 2 \sqrt{2} = 20 \sqrt{2}$

Add it to the first term, and we get the solution:
$6 \sqrt{2} + 20 \sqrt{2} = 26 \sqrt{2}$