# How do you simplify sqrt((9x^2y)/(32z^3))?

Sep 6, 2016

$\frac{3 x}{4 z} \sqrt{\frac{y}{2 z}}$
$\sqrt{\frac{9 {x}^{2} y}{32 {z}^{3}}} \textcolor{w h i t e}{\times \times \times} \leftarrow$ find the square roots where possible.
=$\sqrt{\frac{{3}^{2} {x}^{2} y}{{4}^{2} \times 2 {z}^{2} z}} \textcolor{w h i t e}{\times \times \times} \leftarrow$ identify the squares.
=$\frac{3 x}{4 z} \sqrt{\frac{y}{2 z}}$