Simplify - square root of 1/25

$- \sqrt{\frac{1}{25}}$

Rewrite $\sqrt{\frac{1}{25}}$ as $\frac{\sqrt{1}}{\sqrt{25}}$ .

$- \frac{\sqrt{1}}{\sqrt{25}}$

Any root of $1$ is $1$ .

$- \frac{1}{\sqrt{25}}$

Simplify the denominator.

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

$- \frac{1}{\sqrt{5^{2}}}$

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

$- \frac{1}{5}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{5}$

Decimal Form:

$- 0.2$