Simplify the Radical Expression fourth root of 4

$\sqrt[4]{4}$

Step 1

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

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

Step 2

Rewrite $\sqrt[4]{2^{2}}$ as $\sqrt{\sqrt{2^{2}}}$ .

$\sqrt{\sqrt{2^{2}}}$

Step 3

Pull terms out from under the radical.

$\sqrt{| 2 |}$

Step 4

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

$\sqrt{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2}$

Decimal Form:

$1.41421356 \dots$