Simplify 4 square root of 9/25

$4 \sqrt{\frac{9}{25}}$

Rewrite $\sqrt{\frac{9}{25}}$ as $\frac{\sqrt{9}}{\sqrt{25}}$ .

$4 \frac{\sqrt{9}}{\sqrt{25}}$

Simplify the numerator.

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

$4 \frac{\sqrt{3^{2}}}{\sqrt{25}}$

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

$4 \frac{3}{\sqrt{25}}$

Simplify the denominator.

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

$4 \frac{3}{\sqrt{5^{2}}}$

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

$4 (\frac{3}{5})$

Multiply $4 (\frac{3}{5})$ .

Combine $4$ and $\frac{3}{5}$ .

$\frac{4 \cdot 3}{5}$

Multiply $4$ by $3$ .

$\frac{12}{5}$

The result can be shown in multiple forms.

Exact Form:

$\frac{12}{5}$

Decimal Form:

$2.4$

Mixed Number Form:

$2 \frac{2}{5}$