The cube root ∛x finds what number cubed equals x. ∛27 = 3 because 3³ = 27. Unlike square roots, cube roots are defined for negative numbers: ∛−8 = −2 because (−2)³ = −8. Perfect cubes are 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000...
How to Use
Enter any number:
- Cube root: ∛x computed
- Perfect cube: Check if result is integer
- Nth root: Try any root index
Properties
- ∛(a×b) = ∛a × ∛b
- ∛(a/b) = ∛a / ∛b
- ∛(−x) = −∛x
- ∛(x³) = x for all real x
Perfect Cubes
1³=1, 2³=8, 3³=27, 4³=64, 5³=125, 6³=216, 7³=343, 8³=512, 9³=729, 10³=1000. Memorizing these helps estimate cube roots quickly.
Step-by-Step Instructions
- 1Enter a number.
- 2View the cube root.
- 3Check if it's a perfect cube.
- 4Try the nth root option.
- 5Compare with the squared root.