# How do you simplify sqrt(80w^3)/9?

$\frac{\sqrt{80 {w}^{3}}}{9}$
$= \frac{\sqrt{80} \cdot \sqrt{{w}^{3}}}{9}$
$= \frac{\sqrt{4 \cdot 4} \cdot \sqrt{5} \cdot \sqrt{w \cdot w} \cdot \sqrt{w}}{9}$
$= \frac{4 w \cdot \sqrt{5} \cdot \sqrt{w}}{9}$
$= \frac{4 w \sqrt{5 w}}{9}$