Simplify square root of x/25

$\sqrt{\frac{x}{25}}$

Step 1

Rewrite $\frac{x}{25}$ as ${(\frac{1}{5})}^{2} x$ .

Factor the perfect power $1^{2}$ out of $x$ .

$\sqrt{\frac{1^{2} x}{25}}$

Factor the perfect power $5^{2}$ out of $25$ .

$\sqrt{\frac{1^{2} x}{5^{2} \cdot 1}}$

Rearrange the fraction $\frac{1^{2} x}{5^{2} \cdot 1}$ .

$\sqrt{{(\frac{1}{5})}^{2} x}$

Step 2

Pull terms out from under the radical.

$\frac{1}{5} \sqrt{x}$

Step 3

Combine $\frac{1}{5}$ and $\sqrt{x}$ .

$\frac{\sqrt{x}}{5}$