Simplify square root of 5/64

$\sqrt{\frac{5}{64}}$

Step 1

Rewrite $\sqrt{\frac{5}{64}}$ as $\frac{\sqrt{5}}{\sqrt{64}}$ .

$\frac{\sqrt{5}}{\sqrt{64}}$

Step 2

Simplify the denominator.

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

$\frac{\sqrt{5}}{\sqrt{8^{2}}}$

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

$\frac{\sqrt{5}}{8}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{5}}{8}$

Decimal Form:

$0.27950849 \dots$