Evaluate cube root of 160

$\sqrt[3]{160}$

Step 1

Rewrite $160$ as $2^{3} \cdot 20$ .

Factor $8$ out of $160$ .

$\sqrt[3]{8 (20)}$

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

$\sqrt[3]{2^{3} \cdot 20}$

$\sqrt[3]{2^{3} \cdot 20}$

Step 2

Pull terms out from under the radical.

$2 \sqrt[3]{20}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[3]{20}$

Decimal Form:

$5.42883523 \dots$

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