Cube Roots Math Example 5

Follow the full solution, then compare it with the other examples linked below.

easy

Evaluate

\sqrt[3]{-64} + \sqrt[3]{216}

1
$\sqrt[3]{-64} = -4$ because $(-4)^3 = -64$ , and $\sqrt[3]{216} = 6$ because $6^3 = 216$ .
2
Add the results: $-4 + 6 = 2$ .

Answer

2

Cube roots undo powers of 3, even for negative numbers. Once each cube root is simplified, add the resulting integers normally.

About Cube Roots

The cube root $\sqrt[3]{x}$ is the number that, when cubed, gives $x$ — defined for all real numbers, including negatives.

Evaluate [formula].

Simplify [formula].

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Evaluate [formula].