Precalculus Examples

$\sqrt[3]{\sqrt{729 x^{6}}}$

Step 1

Rewrite $729 x^{6}$ as ${(27 x^{3})}^{2}$ .

$\sqrt[3]{\sqrt{{(27 x^{3})}^{2}}}$

Step 2

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

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

Step 3

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

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

Step 4

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

$3 x$