Simplify square root of 49x^3

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Algebra

$\sqrt{49 x^{3}}$

Rewrite $49 x^{3}$ as ${(7 x)}^{2} x$ .

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

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

Factor out $x^{2}$ .

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

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

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

Pull terms out from under the radical.

$7 x \sqrt{x}$

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