Cube Root Calculator
Use this cube root calculator to find the cube root of any real number instantly, including negative values and decimals.
How to Use the Cube Root Calculator
Enter any real number to calculate its cube root. The tool also indicates whether the value is a perfect cube.
Practical Example
The cube root of 125 is 5 because 5 × 5 × 5 = 125. The cube root of −64 is −4.
Factors That Affect the Result
Decimal output may be rounded for irrational cube roots. Negative inputs are valid because every real number has one real cube root.
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Frequently Asked Questions
Can a negative number have a cube root?
Yes. Negative real numbers have negative real cube roots.
What is a perfect cube?
It is an integer that can be written as n³ for another integer n.
Can the result be irrational?
Yes. Many cube roots are non-terminating irrational numbers.
Understanding Cube Roots
The cube root of a number is the value that, when multiplied by itself three times, produces the original number. For example, the cube root of 27 is 3 because 3 × 3 × 3 = 27. Unlike an even root, a real cube root exists for negative numbers: the cube root of −8 is −2. Many cube roots are irrational and therefore appear as decimal approximations rather than terminating values. Cube roots are useful when reversing volume calculations, solving equations with cubic terms and working with geometric scaling. If a cube has volume V, its side length is ∛V. When using approximate decimal results in further calculations, retain enough digits to avoid unnecessary rounding error and round only the final value to the precision required by the problem.