Evaluate square root of 1/64

$\sqrt{\frac{1}{64}}$

Step 1

Rewrite $\sqrt{\frac{1}{64}}$ as $\frac{\sqrt{1}}{\sqrt{64}}$ .

$\frac{\sqrt{1}}{\sqrt{64}}$

Step 2

Any root of $1$ is $1$ .

$\frac{1}{\sqrt{64}}$

Step 3

Simplify the denominator.

Rewrite $64$ as $8^{2}$ .

$\frac{1}{\sqrt{8^{2}}}$

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

$\frac{1}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{8}$

Decimal Form:

$0.125$