Evaluate square root of 16/121

$\sqrt{\frac{16}{121}}$

Step 1

Rewrite $\sqrt{\frac{16}{121}}$ as $\frac{\sqrt{16}}{\sqrt{121}}$ .

$\frac{\sqrt{16}}{\sqrt{121}}$

Step 2

Simplify the numerator.

Rewrite $16$ as $4^{2}$ .

$\frac{\sqrt{4^{2}}}{\sqrt{121}}$

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

$\frac{4}{\sqrt{121}}$

Step 3

Simplify the denominator.

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

$\frac{4}{\sqrt{11^{2}}}$

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

$\frac{4}{11}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{11}$

Decimal Form:

$0.\overline{36}$