Evaluate 3 square root of 216

$3 \sqrt{216}$

Step 1

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

Factor $36$ out of $216$ .

$3 \sqrt{36 (6)}$

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

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

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

Step 2

Pull terms out from under the radical.

$3 (6 \sqrt{6})$

Step 3

Multiply $6$ by $3$ .

$18 \sqrt{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$18 \sqrt{6}$

Decimal Form:

$44.09081537 \dots$

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