Evaluate square root of 4/36

$\sqrt{\frac{4}{36}}$

Step 1

Cancel the common factor of $4$ and $36$ .

Factor $4$ out of $4$ .

$\sqrt{\frac{4 (1)}{36}}$

Cancel the common factors.

Factor $4$ out of $36$ .

$\sqrt{\frac{4 \cdot 1}{4 \cdot 9}}$

Cancel the common factor.

$\sqrt{\frac{4 \cdot 1}{4 \cdot 9}}$

Rewrite the expression.

$\sqrt{\frac{1}{9}}$

Step 2

Rewrite $\sqrt{\frac{1}{9}}$ as $\frac{\sqrt{1}}{\sqrt{9}}$ .

$\frac{\sqrt{1}}{\sqrt{9}}$

Step 3

Any root of $1$ is $1$ .

$\frac{1}{\sqrt{9}}$

Step 4

Simplify the denominator.

Rewrite $9$ as $3^{2}$ .

$\frac{1}{\sqrt{3^{2}}}$

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

$\frac{1}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$