Simplify 2 square root of 72

$2 \sqrt{72}$

Step 1

Rewrite $72$ as $6^{2} \cdot 2$ .

Factor $36$ out of $72$ .

$2 \sqrt{36 (2)}$

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

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

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

Step 2

Pull terms out from under the radical.

$2 (6 \sqrt{2})$

Step 3

Multiply $6$ by $2$ .

$12 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$12 \sqrt{2}$

Decimal Form:

$16.97056274 \dots$

Related Questions