Simplify square root of 7/81

$\sqrt{\frac{7}{81}}$

Step 1

Rewrite $\sqrt{\frac{7}{81}}$ as $\frac{\sqrt{7}}{\sqrt{81}}$ .

$\frac{\sqrt{7}}{\sqrt{81}}$

Step 2

Simplify the denominator.

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

$\frac{\sqrt{7}}{\sqrt{9^{2}}}$

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

$\frac{\sqrt{7}}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{7}}{9}$

Decimal Form:

$0.29397236 \dots$