Simplify ( square root of 4)/(3 square root of 25)

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

Step 1

Simplify the numerator.

Rewrite $4$ as $2^{2}$ .

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

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

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

Step 2

Simplify the denominator.

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

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

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

$\frac{2}{3 \cdot 5}$

Step 3

Multiply $3$ by $5$ .

$\frac{2}{15}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{15}$

Decimal Form:

$0.1\overline{3}$