Simplify cube root of 500

$\sqrt[3]{500}$

Step 1

Rewrite $500$ as $5^{3} \cdot 4$ .

Factor $125$ out of $500$ .

$\sqrt[3]{125 (4)}$

Rewrite $125$ as $5^{3}$ .

$\sqrt[3]{5^{3} \cdot 4}$

$\sqrt[3]{5^{3} \cdot 4}$

Step 2

Pull terms out from under the radical.

$5 \sqrt[3]{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt[3]{4}$

Decimal Form:

$7.93700525 \dots$

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