Simplify the Radical Expression fourth root of 48

$\sqrt[4]{48}$

Rewrite $48$ as $2^{4} \cdot 3$ .

Factor $16$ out of $48$ .

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

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

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

Pull terms out from under the radical.

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

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

$2 \sqrt[4]{3}$

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[4]{3}$

Decimal Form:

$2.63214802 \dots$