Simplify the Radical Expression 6 square root of 72x^2

$6 \sqrt{72 x^{2}}$

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

Factor $36$ out of $72$ .

$6 \sqrt{36 (2) x^{2}}$

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

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

Move $2$ .

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

Rewrite $6^{2} x^{2}$ as ${(6 x)}^{2}$ .

$6 \sqrt{{(6 x)}^{2} \cdot 2}$

Pull terms out from under the radical.

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

Remove non-negative terms from the absolute value.

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

Multiply $6$ by $6$ .

$36 | x | \sqrt{2}$