Simplify square root of 216x^2

$\sqrt{216 x^{2}}$

Step 1

Rewrite $216 x^{2}$ as ${(6 x)}^{2} \cdot 6$ .

Factor $36$ out of $216$ .

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

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

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

Move $6$ .

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

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

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

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

Step 2

Pull terms out from under the radical.

$6 x \sqrt{6}$

Related Questions