Practice Cube Roots in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The cube root of x, written \sqrt[3]{x}, is the number that when multiplied by itself three times equals x. Unlike square roots, cube roots are defined for negative numbers.
\sqrt[3]{27} asks: what number times itself times itself equals 27? Answer: 3, because 3 \times 3 \times 3 = 27. For negatives, \sqrt[3]{-8} = -2 because (-2) \times (-2) \times (-2) = -8.
Example 1
easyEvaluate \sqrt[3]{-125}.
Example 2
mediumSimplify \sqrt[3]{54}.
Example 3
mediumSimplify \sqrt[3]{216x^6}.
Example 4
easyEvaluate \sqrt[3]{8} + \sqrt[3]{27}.
Example 5
easyEvaluate \sqrt[3]{-64} + \sqrt[3]{216}.