Simplify ( square root of 54)/6

$\frac{\sqrt{54}}{6}$

Simplify the numerator.

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Rewrite $54$ as $3^{2} \cdot 6$ .

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Factor $9$ out of $54$ .

$\frac{\sqrt{9 (6)}}{6}$

Rewrite $9$ as $3^{2}$ .

$\frac{\sqrt{3^{2} \cdot 6}}{6}$

Pull terms out from under the radical.

$\frac{3 \sqrt{6}}{6}$

Cancel the common factor of $3$ and $6$ .

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Factor $3$ out of $3 \sqrt{6}$ .

$\frac{3 (\sqrt{6})}{6}$

Cancel the common factors.

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Factor $3$ out of $6$ .

$\frac{3 \sqrt{6}}{3 \cdot 2}$

Cancel the common factor.

$\frac{3 \sqrt{6}}{3 \cdot 2}$

Rewrite the expression.

$\frac{\sqrt{6}}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{6}}{2}$

Decimal Form:

$1.22474487 \dots$

Simplify ( square root of 54)/6

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