# How do you simplify 7sqrt(2a^3)-sqrt(8a)?

Aug 24, 2016

$\sqrt{2 a} \left(7 a - 2\right)$

#### Explanation:

Look for values that are squared within the square roots and then take them out of the square roots.

Write as:$\text{ } 7 \sqrt{2 \times {a}^{2} \times a} - \sqrt{{2}^{2} \times 2 a}$

$7 a \sqrt{2 a} - 2 \sqrt{2 a}$

Factor out the $\sqrt{2 a}$ giving:

$\sqrt{2 a} \left(7 a - 2\right)$