Evaluate cube root of 375

$\sqrt[3]{375}$

Step 1

Rewrite $375$ as $5^{3} \cdot 3$ .

Factor $125$ out of $375$ .

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

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

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

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

Step 2

Pull terms out from under the radical.

$5 \sqrt[3]{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt[3]{3}$

Decimal Form:

$7.21124785 \dots$

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