Simplify square root of 64/25

$\sqrt{\frac{64}{25}}$

Step 1

Rewrite $\sqrt{\frac{64}{25}}$ as $\frac{\sqrt{64}}{\sqrt{25}}$ .

$\frac{\sqrt{64}}{\sqrt{25}}$

Step 2

Simplify the numerator.

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

$\frac{\sqrt{8^{2}}}{\sqrt{25}}$

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

$\frac{8}{\sqrt{25}}$

Step 3

Simplify the denominator.

Rewrite $25$ as $5^{2}$ .

$\frac{8}{\sqrt{5^{2}}}$

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

$\frac{8}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{5}$

Decimal Form:

$1.6$

Mixed Number Form:

$1 \frac{3}{5}$