Evaluate square root of 64/169

$\sqrt{\frac{64}{169}}$

Step 1

Rewrite $\sqrt{\frac{64}{169}}$ as $\frac{\sqrt{64}}{\sqrt{169}}$ .

$\frac{\sqrt{64}}{\sqrt{169}}$

Step 2

Simplify the numerator.

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

$\frac{\sqrt{8^{2}}}{\sqrt{169}}$

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

$\frac{8}{\sqrt{169}}$

Step 3

Simplify the denominator.

Rewrite $169$ as $13^{2}$ .

$\frac{8}{\sqrt{13^{2}}}$

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

$\frac{8}{13}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{13}$

Decimal Form:

$0.\overline{615384}$