Evaluate square root of 64/121

$\sqrt{\frac{64}{121}}$

Step 1

Rewrite $\sqrt{\frac{64}{121}}$ as $\frac{\sqrt{64}}{\sqrt{121}}$ .

$\frac{\sqrt{64}}{\sqrt{121}}$

Step 2

Simplify the numerator.

Rewrite $64$ as $8^{2}$ .

$\frac{\sqrt{8^{2}}}{\sqrt{121}}$

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

$\frac{8}{\sqrt{121}}$

Step 3

Simplify the denominator.

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

$\frac{8}{\sqrt{11^{2}}}$

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

$\frac{8}{11}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{11}$

Decimal Form:

$0.\overline{72}$