Simplify cube root of 48

$\sqrt[3]{48}$

Step 1

Rewrite $48$ as $2^{3} \cdot 6$ .

Factor $8$ out of $48$ .

$\sqrt[3]{8 (6)}$

Rewrite $8$ as $2^{3}$ .

$\sqrt[3]{2^{3} \cdot 6}$

$\sqrt[3]{2^{3} \cdot 6}$

Step 2

Pull terms out from under the radical.

$2 \sqrt[3]{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[3]{6}$

Decimal Form:

$3.63424118 \dots$

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