Simplify cube root of 750

$\sqrt[3]{750}$

Step 1

Rewrite $750$ as $5^{3} \cdot 6$ .

Factor $125$ out of $750$ .

$\sqrt[3]{125 (6)}$

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

$\sqrt[3]{5^{3} \cdot 6}$

$\sqrt[3]{5^{3} \cdot 6}$

Step 2

Pull terms out from under the radical.

$5 \sqrt[3]{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt[3]{6}$

Decimal Form:

$9.08560296 \dots$

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