Simplify square root of 27

$\sqrt{27}$

Rewrite $27$ as $3^{2} \cdot 3$ .

Factor $9$ out of $27$ .

$\sqrt{9 (3)}$

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

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

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

Pull terms out from under the radical.

$3 \sqrt{3}$

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{3}$

Decimal Form:

$5.19615242 \dots$

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