Simplify the Radical Expression 6*2 square root of 72

$6 \cdot 2 \sqrt{72}$

Multiply $6$ by $2$ .

$12 \sqrt{72}$

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

Factor $36$ out of $72$ .

$12 \sqrt{36 (2)}$

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

$12 \sqrt{6^{2} \cdot 2}$

Pull terms out from under the radical.

$12 (| 6 | \sqrt{2})$

The absolute value is the distance between a number and zero. The distance between $0$ and $6$ is $6$ .

$12 (6 \sqrt{2})$

Multiply $6$ by $12$ .

$72 \sqrt{2}$

The result can be shown in multiple forms.

Exact Form:

$72 \sqrt{2}$

Decimal Form:

$101.82337649 \dots$