Evaluate square root of 11/64

$\sqrt{\frac{11}{64}}$

Rewrite $\sqrt{\frac{11}{64}}$ as $\frac{\sqrt{11}}{\sqrt{64}}$ .

$\frac{\sqrt{11}}{\sqrt{64}}$

Simplify the denominator.

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

$\frac{\sqrt{11}}{\sqrt{8^{2}}}$

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

$\frac{\sqrt{11}}{8}$

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{11}}{8}$

Decimal Form:

$0.41457809 \dots$