Evaluate square root of 1/100

$\sqrt{\frac{1}{100}}$

Step 1

Rewrite $\sqrt{\frac{1}{100}}$ as $\frac{\sqrt{1}}{\sqrt{100}}$ .

$\frac{\sqrt{1}}{\sqrt{100}}$

Step 2

Any root of $1$ is $1$ .

$\frac{1}{\sqrt{100}}$

Step 3

Simplify the denominator.

Rewrite $100$ as $10^{2}$ .

$\frac{1}{\sqrt{10^{2}}}$

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

$\frac{1}{10}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{10}$

Decimal Form:

$0.1$