Evaluate cube root of 875

$\sqrt[3]{875}$

Step 1

Rewrite $875$ as $5^{3} \cdot 7$ .

Factor $125$ out of $875$ .

$\sqrt[3]{125 (7)}$

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

$\sqrt[3]{5^{3} \cdot 7}$

$\sqrt[3]{5^{3} \cdot 7}$

Step 2

Pull terms out from under the radical.

$5 \sqrt[3]{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt[3]{7}$

Decimal Form:

$9.56465591 \dots$

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