# How do you simplify sqrt (2a^2b) * (4a^2)?

May 9, 2018

$\implies 4 {a}^{3} \sqrt{2 b}$

#### Explanation:

All that can be done is to pull out a factor of $a$ from the radical since the $\sqrt{{a}^{2}} = a$ assuming that $a$ is just a positive number.

$\sqrt{2 {a}^{2} b} \cdot \left(4 {a}^{2}\right)$

$= a \sqrt{2 b} \cdot \left(4 {a}^{2}\right)$

$= 4 {a}^{3} \sqrt{2 b}$