Simplify square root of 216

$\sqrt{216}$

Step 1

Rewrite $216$ as $6^{2} \cdot 6$ .

Factor $36$ out of $216$ .

$\sqrt{36 (6)}$

Rewrite $36$ as $6^{2}$ .

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

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

Step 2

Pull terms out from under the radical.

$6 \sqrt{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt{6}$

Decimal Form:

$14.69693845 \dots$

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