# How do you simplify sqrt(32x) + 3sqrt(8x)?

Oct 3, 2016

$5 \sqrt{8 x}$

#### Explanation:

As there is an addition and you can only add like terms, try to make like terms.

Find factors of $32$

$\sqrt{32 x} + 3 \sqrt{8 x}$

$= \sqrt{4 \times 8 x} + 3 \sqrt{8 x} \text{ } \leftarrow$ 4 is a square - find the root

=$2 \sqrt{8 x} + 3 \sqrt{8 x}$

$= 5 \sqrt{8 x}$