Simplify square root of 5/16

$\sqrt{\frac{5}{16}}$

Step 1

Rewrite $\sqrt{\frac{5}{16}}$ as $\frac{\sqrt{5}}{\sqrt{16}}$ .

$\frac{\sqrt{5}}{\sqrt{16}}$

Step 2

Simplify the denominator.

Rewrite $16$ as $4^{2}$ .

$\frac{\sqrt{5}}{\sqrt{4^{2}}}$

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

$\frac{\sqrt{5}}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{5}}{4}$

Decimal Form:

$0.55901699 \dots$