Simplify square root of 7/16

$\sqrt{\frac{7}{16}}$

Rewrite $\sqrt{\frac{7}{16}}$ as $\frac{\sqrt{7}}{\sqrt{16}}$ .

$\frac{\sqrt{7}}{\sqrt{16}}$

Simplify the denominator.

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

$\frac{\sqrt{7}}{\sqrt{4^{2}}}$

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

$\frac{\sqrt{7}}{4}$

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{7}}{4}$

Decimal Form:

$0.66143782 \dots$

Simplify square root of 7/16

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