Cube Root Calculator
Calculate the cube root of any real number — positive, negative, or decimal. Shows the exact value, decimal approximation, and verification that the result cubed equals the original number.
Enter any real number (positive, negative, or decimal) into the input field and click Calculate. The calculator returns the cube root value, verifies it by cubing back to the original, and shows whether the input is a perfect cube.
Examples: - ∛8 = 2 (because 2³ = 8) - ∛-27 = -3 (because (-3)³ = -27) - ∛2 ≈ 1.2599
∛rx = x^(1/3)
The cube root of x is the number y such that y³ = x.
Perfect cubes: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000 (∛ of these gives whole numbers).
Unlike square roots, cube roots are defined for negative numbers: ∛-64 = -4, because (-4)³ = -64.
Relation to exponents: ∛x = x^(1/3). Generalizing, the nth root of x = x^(1/n).
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