Simplify square root of 288

$\sqrt{288}$

Step 1

Rewrite $288$ as $12^{2} \cdot 2$ .

Factor $144$ out of $288$ .

$\sqrt{144 (2)}$

Rewrite $144$ as $12^{2}$ .

$\sqrt{12^{2} \cdot 2}$

$\sqrt{12^{2} \cdot 2}$

Step 2

Pull terms out from under the radical.

$12 \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$12 \sqrt{2}$

Decimal Form:

$16.97056274 \dots$

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