Evaluate square root of 7/64

$\sqrt{\frac{7}{64}}$

Step 1

Rewrite $\sqrt{\frac{7}{64}}$ as $\frac{\sqrt{7}}{\sqrt{64}}$ .

$\frac{\sqrt{7}}{\sqrt{64}}$

Step 2

Simplify the denominator.

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

$\frac{\sqrt{7}}{\sqrt{8^{2}}}$

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

$\frac{\sqrt{7}}{8}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{7}}{8}$

Decimal Form:

$0.33071891 \dots$