Simplify square root of 10/81

$\sqrt{\frac{10}{81}}$

Step 1

Rewrite $\sqrt{\frac{10}{81}}$ as $\frac{\sqrt{10}}{\sqrt{81}}$ .

$\frac{\sqrt{10}}{\sqrt{81}}$

Step 2

Simplify the denominator.

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

$\frac{\sqrt{10}}{\sqrt{9^{2}}}$

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

$\frac{\sqrt{10}}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{10}}{9}$

Decimal Form:

$0.35136418 \dots$