Simplify ( cube root of 8x^3)

$(\sqrt[3]{8 x^{3}})$

Remove parentheses.

$\sqrt[3]{8 x^{3}}$

Rewrite $8 x^{3}$ as ${(2 x)}^{3}$ .

$\sqrt[3]{{(2 x)}^{3}}$

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

$2 x$