Evaluate -19+ cube root of -8

$- 19 + \sqrt[3]{- 8}$

Step 1

Simplify each term.

Rewrite $- 8$ as ${(- 2)}^{3}$ .

$- 19 + \sqrt[3]{{(- 2)}^{3}}$

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

$- 19 - 2$

Step 2

Subtract $2$ from $- 19$ .

$- 21$