Evaluate square root of 36/121

$\sqrt{\frac{36}{121}}$

Step 1

Rewrite $\sqrt{\frac{36}{121}}$ as $\frac{\sqrt{36}}{\sqrt{121}}$ .

$\frac{\sqrt{36}}{\sqrt{121}}$

Step 2

Simplify the numerator.

Rewrite $36$ as $6^{2}$ .

$\frac{\sqrt{6^{2}}}{\sqrt{121}}$

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

$\frac{6}{\sqrt{121}}$

Step 3

Simplify the denominator.

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

$\frac{6}{\sqrt{11^{2}}}$

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

$\frac{6}{11}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{11}$

Decimal Form:

$0.\overline{54}$