Simplify square root of 25x^3

$\sqrt{25 x^{3}}$

Step 1

Rewrite $25 x^{3}$ as ${(5 x)}^{2} x$ .

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2} x^{3}}$

Factor out $x^{2}$ .

$\sqrt{5^{2} (x^{2} x)}$

Rewrite $5^{2} x^{2}$ as ${(5 x)}^{2}$ .

$\sqrt{{(5 x)}^{2} x}$

$\sqrt{{(5 x)}^{2} x}$

Step 2

Pull terms out from under the radical.

$5 x \sqrt{x}$

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