Simplify fifth root of 96

$\sqrt[5]{96}$

Step 1

Rewrite $96$ as $2^{5} \cdot 3$ .

Factor $32$ out of $96$ .

$\sqrt[5]{32 (3)}$

Rewrite $32$ as $2^{5}$ .

$\sqrt[5]{2^{5} \cdot 3}$

$\sqrt[5]{2^{5} \cdot 3}$

Step 2

Pull terms out from under the radical.

$2 \sqrt[5]{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[5]{3}$

Decimal Form:

$2.49146187 \dots$

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