Evaluate 25- cube root of 125

$25 - \sqrt[3]{125}$

Simplify each term.

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

$25 - \sqrt[3]{5^{3}}$

Pull terms out from under the radical, assuming real numbers.

$25 - 1 \cdot 5$

Multiply $- 1$ by $5$ .

$25 - 5$

Subtract $5$ from $25$ .

$20$