Simplify the Radical Expression cube root of fourth root of 16

$\sqrt[3]{\sqrt[4]{16}}$

Step 1

Rewrite $16$ as $2^{4}$ .

$\sqrt[3]{\sqrt[4]{2^{4}}}$

Step 2

Pull terms out from under the radical.

$\sqrt[3]{| 2 |}$

Step 3

The absolute value is the distance between a number and zero. The distance between $0$ and $2$ is $2$ .

$\sqrt[3]{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt[3]{2}$

Decimal Form:

$1.25992104 \dots$