Simplify the Radical Expression cube root of 16xy

$\sqrt[3]{16 x y}$

Step 1

Rewrite $16 x y$ as $2^{3} \cdot (2 x y)$ .

Factor $8$ out of $16$ .

$\sqrt[3]{8 (2) x y}$

Rewrite $8$ as $2^{3}$ .

$\sqrt[3]{2^{3} \cdot 2 x y}$

Add parentheses.

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

Add parentheses.

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

Step 2

Pull terms out from under the radical.

$2 \sqrt[3]{2 x y}$