Find the cube root of any real number including negatives, with perfect-cube detection.
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Result
Cube root
Perfect cube
Yes
Exact result
Yes
Also in Functions
Algebra
The cube root calculator finds the cube root of any real number, including negatives. It identifies perfect cubes and shows whether the result is exact or an approximation.
The cube root of x is the number y such that y^3 = x. Unlike square roots, cube roots are defined for negative numbers: the cube root of -27 is -3 because (-3)^3 = -27.
Perfect cubes — 1, 8, 27, 64, 125, and so on — have integer cube roots. Most other numbers have irrational cube roots.
∛x = x^(1/3)
The cube root of x equals x raised to the power one-third.
Floating-point precision may affect results for very large values. The calculator detects perfect cubes up to reasonable precision.
Frequently asked questions
Yes. The cube root of -8 is -2, because (-2)^3 = -8. Odd-degree roots are defined for all real numbers.
Zero. 0^3 = 0, so the cube root of 0 is 0.
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