Simplify square root of 63x^2

$\sqrt{63 x^{2}}$

Step 1

Rewrite $63 x^{2}$ as ${(3 x)}^{2} \cdot 7$ .

Factor $9$ out of $63$ .

$\sqrt{9 (7) x^{2}}$

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} \cdot 7 x^{2}}$

Move $7$ .

$\sqrt{3^{2} x^{2} \cdot 7}$

Rewrite $3^{2} x^{2}$ as ${(3 x)}^{2}$ .

$\sqrt{{(3 x)}^{2} \cdot 7}$

$\sqrt{{(3 x)}^{2} \cdot 7}$

Step 2

Pull terms out from under the radical.

$3 x \sqrt{7}$

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