Evaluate 5 square root of 108

$5 \sqrt{108}$

Step 1

Rewrite $108$ as $6^{2} \cdot 3$ .

Factor $36$ out of $108$ .

$5 \sqrt{36 (3)}$

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

$5 \sqrt{6^{2} \cdot 3}$

$5 \sqrt{6^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

$5 (6 \sqrt{3})$

Step 3

Multiply $6$ by $5$ .

$30 \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$30 \sqrt{3}$

Decimal Form:

$51.96152422 \dots$

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