Simplify cube root of -27x^3

$\sqrt[3]{- 27 x^{3}}$

Step 1

Rewrite $- 27 x^{3}$ as ${(- 3 x)}^{3}$ .

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

Step 2

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

$- 3 x$

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