Simplify square root of 243x^2

$\sqrt{243 x^{2}}$

Step 1

Rewrite $243 x^{2}$ as ${(9 x)}^{2} \cdot 3$ .

Factor $81$ out of $243$ .

$\sqrt{81 (3) x^{2}}$

Rewrite $81$ as $9^{2}$ .

$\sqrt{9^{2} \cdot 3 x^{2}}$

Move $3$ .

$\sqrt{9^{2} x^{2} \cdot 3}$

Rewrite $9^{2} x^{2}$ as ${(9 x)}^{2}$ .

$\sqrt{{(9 x)}^{2} \cdot 3}$

$\sqrt{{(9 x)}^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

$9 x \sqrt{3}$

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