Evaluate square root of 10/121

$\sqrt{\frac{10}{121}}$

Step 1

Rewrite $\sqrt{\frac{10}{121}}$ as $\frac{\sqrt{10}}{\sqrt{121}}$ .

$\frac{\sqrt{10}}{\sqrt{121}}$

Step 2

Simplify the denominator.

Rewrite $121$ as $11^{2}$ .

$\frac{\sqrt{10}}{\sqrt{11^{2}}}$

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

$\frac{\sqrt{10}}{11}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{10}}{11}$

Decimal Form:

$0.28747978 \dots$