Simplify fourth root of 96

$\sqrt[4]{96}$

Step 1

Rewrite $96$ as $2^{4} \cdot 6$ .

Factor $16$ out of $96$ .

$\sqrt[4]{16 (6)}$

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

$\sqrt[4]{2^{4} \cdot 6}$

$\sqrt[4]{2^{4} \cdot 6}$

Step 2

Pull terms out from under the radical.

$2 \sqrt[4]{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[4]{6}$

Decimal Form:

$3.13016916 \dots$

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