Evaluate 8 cube root of 16

$8 \sqrt[3]{16}$

Step 1

Rewrite $16$ as $2^{3} \cdot 2$ .

Factor $8$ out of $16$ .

$8 \sqrt[3]{8 (2)}$

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

$8 \sqrt[3]{2^{3} \cdot 2}$

$8 \sqrt[3]{2^{3} \cdot 2}$

Step 2

Pull terms out from under the radical.

$8 (2 \sqrt[3]{2})$

Step 3

Multiply $2$ by $8$ .

$16 \sqrt[3]{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$16 \sqrt[3]{2}$

Decimal Form:

$20.15873679 \dots$

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