Evaluate ( square root of 3)/( square root of 48)

$\frac{\sqrt{3}}{\sqrt{48}}$

Combine $\sqrt{3}$ and $\sqrt{48}$ into a single radical.

$\sqrt{\frac{3}{48}}$

Cancel the common factor of $3$ and $48$ .

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Factor $3$ out of $3$ .

$\sqrt{\frac{3 (1)}{48}}$

Cancel the common factors.

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Factor $3$ out of $48$ .

$\sqrt{\frac{3 \cdot 1}{3 \cdot 16}}$

Cancel the common factor.

$\sqrt{\frac{3 \cdot 1}{3 \cdot 16}}$

Rewrite the expression.

$\sqrt{\frac{1}{16}}$

Rewrite $\sqrt{\frac{1}{16}}$ as $\frac{\sqrt{1}}{\sqrt{16}}$ .

$\frac{\sqrt{1}}{\sqrt{16}}$

Any root of $1$ is $1$ .

$\frac{1}{\sqrt{16}}$

Simplify the denominator.

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

$\frac{1}{\sqrt{4^{2}}}$

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

$\frac{1}{4}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$

Evaluate ( square root of 3)/( square root of 48)

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