Simplify cube root of 625

$\sqrt[3]{625}$

Step 1

Rewrite $625$ as $5^{3} \cdot 5$ .

Factor $125$ out of $625$ .

$\sqrt[3]{125 (5)}$

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

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

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

Step 2

Pull terms out from under the radical.

$5 \sqrt[3]{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt[3]{5}$

Decimal Form:

$8.54987973 \dots$

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