Simplify cube root of 56x^5y

$\sqrt[3]{56 x^{5} y}$

Step 1

Rewrite $56 x^{5} y$ as ${(2 x)}^{3} \cdot (7 x^{2} y)$ .

Factor $8$ out of $56$ .

$\sqrt[3]{8 (7) x^{5} y}$

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

$\sqrt[3]{2^{3} \cdot 7 x^{5} y}$

Factor out $x^{3}$ .

$\sqrt[3]{2^{3} \cdot 7 (x^{3} x^{2}) y}$

Move $7$ .

$\sqrt[3]{2^{3} x^{3} \cdot 7 x^{2} y}$

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

$\sqrt[3]{{(2 x)}^{3} \cdot 7 x^{2} y}$

Add parentheses.

$\sqrt[3]{{(2 x)}^{3} \cdot 7 (x^{2} y)}$

Add parentheses.

$\sqrt[3]{{(2 x)}^{3} \cdot (7 x^{2} y)}$

Step 2

Pull terms out from under the radical.

$2 x \sqrt[3]{7 x^{2} y}$