Simplify - fourth root of 48

$- \sqrt[4]{48}$

Step 1

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

Factor $16$ out of $48$ .

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

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

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

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

Step 2

Pull terms out from under the radical.

$- (2 \sqrt[4]{3})$

Step 3

Multiply $2$ by $- 1$ .

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$- 2.63214802 \dots$

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