Simplify square root of q/36

$\sqrt{\frac{q}{36}}$

Step 1

Rewrite $\frac{q}{36}$ as ${(\frac{1}{6})}^{2} q$ .

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

$\sqrt{\frac{1^{2} q}{36}}$

Factor the perfect power $6^{2}$ out of $36$ .

$\sqrt{\frac{1^{2} q}{6^{2} \cdot 1}}$

Rearrange the fraction $\frac{1^{2} q}{6^{2} \cdot 1}$ .

$\sqrt{{(\frac{1}{6})}^{2} q}$

Step 2

Pull terms out from under the radical.

$\frac{1}{6} \sqrt{q}$

Step 3

Combine $\frac{1}{6}$ and $\sqrt{q}$ .

$\frac{\sqrt{q}}{6}$