Evaluate - square root of 4/25

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

Step 1

Rewrite $\sqrt{\frac{4}{25}}$ as $\frac{\sqrt{4}}{\sqrt{25}}$ .

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

Step 2

Simplify the numerator.

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

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

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

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

Step 3

Simplify the denominator.

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

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

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

$- \frac{2}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{2}{5}$

Decimal Form:

$- 0.4$