# How do you simplify sqrt(x^5y^3z^2)/sqrt(x^2yz)?

Sep 23, 2015

I found: $x y \sqrt{x z}$

#### Explanation:

First write a big root as:
$\sqrt{\frac{{x}^{5} {y}^{3} {z}^{2}}{{x}^{2} y z}} =$

then simplify (remembering that ${x}^{a} / {x}^{b} = {x}^{a - b}$) to get:

$= \sqrt{{x}^{5 - 2} {y}^{3 - 1} {z}^{2 - 1}} =$

$= \sqrt{{x}^{3} {y}^{2} z} =$ finally the square root:

$= x y \sqrt{x z}$