Simplify square root of 98x^2

$\sqrt{98 x^{2}}$

Step 1

Rewrite $98 x^{2}$ as ${(7 x)}^{2} \cdot 2$ .

Factor $49$ out of $98$ .

$\sqrt{49 (2) x^{2}}$

Rewrite $49$ as $7^{2}$ .

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

Move $2$ .

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

Rewrite $7^{2} x^{2}$ as ${(7 x)}^{2}$ .

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

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

Step 2

Pull terms out from under the radical.

$7 x \sqrt{2}$

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