Evaluate square root of 15÷48

$\sqrt{15 \div 48}$

Reduce the expression by cancelling the common factors.

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Rewrite the division as a fraction.

$\sqrt{\frac{15}{48}}$

Cancel the common factor of $15$ and $48$ .

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Factor $3$ out of $15$ .

$\sqrt{\frac{3 (5)}{48}}$

Cancel the common factors.

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Factor $3$ out of $48$ .

$\sqrt{\frac{3 \cdot 5}{3 \cdot 16}}$

Cancel the common factor.

$\sqrt{\frac{3 \cdot 5}{3 \cdot 16}}$

Rewrite the expression.

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

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

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

Simplify the denominator.

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

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

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

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$0.55901699 \dots$

Evaluate square root of 15÷48

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