Simplify sixth root of 729x^3

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

Step 1

Rewrite $729$ as $3^{6}$ .

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

Step 2

Pull terms out from under the radical.

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

Step 3

Rewrite $\sqrt[6]{x^{3}}$ as $\sqrt{\sqrt[3]{x^{3}}}$ .

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

Step 4

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

$3 \sqrt{x}$