What is the cube root of a number? Definition and examples

What is the cube root of a number? The cube root of a number is one of three equal factors of that number.

For example, 4 × 4 × 4 = 64 and 4 is one of the three equal factors of 64.

Therefore, 4 is the cube root of 64.

More examples of cube roots


The cube root of 1000 is 10 because 10 × 10 × 10 = 1000

The cube root of 8 is 2 because 2 × 2 × 2 = 8

The cube root of 1 is 1 because 1 × 1 × 1 = 1

The cube root of 27 is 3 because 3 × 3 × 3 = 27

The cube root of 216 is 6 because 6 × 6 × 6 = 216

The cube root of a number can also be a negative number.

For example, the cube root of -1000 is -10 because -10 × -10 × -10 = -1000

The cube root of -8 is -2 because -2 × -2 × -2 = -8

The cube root can also be a real number.

For example, the cube root of 12 is 2.289 since 2.289 × 2.289 × 2.289 is closely equal to 12. 

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