Simplify cube root of 1000x^3

$\sqrt[3]{1000 x^{3}}$

Step 1

Rewrite $1000 x^{3}$ as ${(10 x)}^{3}$ .

$\sqrt[3]{{(10 x)}^{3}}$

Step 2

Pull terms out from under the radical, assuming real numbers.

$10 x$

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