Simplify cube root of 1250

$\sqrt[3]{1250}$

Step 1

Rewrite $1250$ as $5^{3} \cdot 10$ .

Factor $125$ out of $1250$ .

$\sqrt[3]{125 (10)}$

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

$\sqrt[3]{5^{3} \cdot 10}$

$\sqrt[3]{5^{3} \cdot 10}$

Step 2

Pull terms out from under the radical.

$5 \sqrt[3]{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt[3]{10}$

Decimal Form:

$10.77217345 \dots$

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