Simplify sixth root of x^4y^2

$\sqrt[6]{x^{4} y^{2}}$

Step 1

Rewrite $x^{4} y^{2}$ as ${(x^{2} y)}^{2}$ .

$\sqrt[6]{{(x^{2} y)}^{2}}$

Step 2

Rewrite $\sqrt[6]{{(x^{2} y)}^{2}}$ as $\sqrt[3]{\sqrt{{(x^{2} y)}^{2}}}$ .

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

Step 3

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

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