Simplify the Radical Expression cube root of sixth root of y^2

$\sqrt[3]{\sqrt[6]{y^{2}}}$

Step 1

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

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

Step 2

Pull terms out from under the radical.

$\sqrt[3]{\sqrt[3]{| y |}}$

Step 3

Rewrite $\sqrt[3]{\sqrt[3]{| y |}}$ as $\sqrt[9]{| y |}$ .

$\sqrt[9]{| y |}$