Evaluate square root of 1/36

$\sqrt{\frac{1}{36}}$

Step 1

Rewrite $\sqrt{\frac{1}{36}}$ as $\frac{\sqrt{1}}{\sqrt{36}}$ .

$\frac{\sqrt{1}}{\sqrt{36}}$

Step 2

Any root of $1$ is $1$ .

$\frac{1}{\sqrt{36}}$

Step 3

Simplify the denominator.

Rewrite $36$ as $6^{2}$ .

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

Pull terms out from under the radical, assuming positive real numbers.

$\frac{1}{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{6}$

Decimal Form:

$0.1\overline{6}$