Simplify square root of 64/9

$\sqrt{\frac{64}{9}}$

Step 1

Rewrite $\sqrt{\frac{64}{9}}$ as $\frac{\sqrt{64}}{\sqrt{9}}$ .

$\frac{\sqrt{64}}{\sqrt{9}}$

Step 2

Simplify the numerator.

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

$\frac{\sqrt{8^{2}}}{\sqrt{9}}$

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

$\frac{8}{\sqrt{9}}$

Step 3

Simplify the denominator.

Rewrite $9$ as $3^{2}$ .

$\frac{8}{\sqrt{3^{2}}}$

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

$\frac{8}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{3}$

Decimal Form:

$2.\overline{6}$

Mixed Number Form:

$2 \frac{2}{3}$