Simplify the Radical Expression fourth root of 32

$\sqrt[4]{32}$

Step 1

Rewrite $32$ as $2^{4} \cdot 2$ .

Factor $16$ out of $32$ .

$\sqrt[4]{16 (2)}$

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

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

Step 2

Pull terms out from under the radical.

$| 2 | \sqrt[4]{2}$

Step 3

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

$2 \sqrt[4]{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[4]{2}$

Decimal Form:

$2.37841423 \dots$