Simplify square root of (x^2y)/100

$\sqrt{\frac{x^{2} y}{100}}$

Step 1

Rewrite $\frac{x^{2} y}{100}$ as ${(\frac{x}{10})}^{2} y$ .

Factor the perfect power $10^{2}$ out of $100$ .

$\sqrt{\frac{x^{2} y}{10^{2} \cdot 1}}$

Rearrange the fraction $\frac{x^{2} y}{10^{2} \cdot 1}$ .

$\sqrt{{(\frac{x}{10})}^{2} y}$

Step 2

Pull terms out from under the radical.

$\frac{x}{10} \sqrt{y}$

Step 3

Combine $\frac{x}{10}$ and $\sqrt{y}$ .

$\frac{x \sqrt{y}}{10}$