Simplify square root of 4/81

$\sqrt{\frac{4}{81}}$

Step 1

Rewrite $\sqrt{\frac{4}{81}}$ as $\frac{\sqrt{4}}{\sqrt{81}}$ .

$\frac{\sqrt{4}}{\sqrt{81}}$

Step 2

Simplify the numerator.

Rewrite $4$ as $2^{2}$ .

$\frac{\sqrt{2^{2}}}{\sqrt{81}}$

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

$\frac{2}{\sqrt{81}}$

Step 3

Simplify the denominator.

Rewrite $81$ as $9^{2}$ .

$\frac{2}{\sqrt{9^{2}}}$

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

$\frac{2}{9}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{9}$

Decimal Form:

$0.\overline{2}$