Simplify 7 square root of 288

$7 \sqrt{288}$

Step 1

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

Factor $144$ out of $288$ .

$7 \sqrt{144 (2)}$

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

$7 \sqrt{12^{2} \cdot 2}$

$7 \sqrt{12^{2} \cdot 2}$

Step 2

Pull terms out from under the radical.

$7 (12 \sqrt{2})$

Step 3

Multiply $12$ by $7$ .

$84 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$84 \sqrt{2}$

Decimal Form:

$118.79393923 \dots$

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