# How do you simplify root3(x^2/z)?

May 19, 2017

$\frac{\sqrt[3]{{x}^{2} z}}{z}$

#### Explanation:

Step 1. Separate the root to both numerator and denominator
$\frac{\sqrt[3]{{x}^{2}}}{\sqrt[3]{z}}$

Step 2. Rationalize the denominator. Remember, it is preferable to eliminate the roots from the denominator.
$\frac{\sqrt[3]{{x}^{2}}}{\sqrt[3]{z}} \cdot \frac{\sqrt[3]{z}}{\sqrt[3]{z}}$

Step 3. Simplify
$\frac{\sqrt[3]{{x}^{2} z}}{z}$