Cube root
In
mathematics, the
cube root of a number is a number which, when cubed (multiplied by itself three times), gives back the original number. For instance, the cube root of 8 is 2, because 2 x 2 x 2 = 8. This is written:
Formally, the cube root of a
real (or
complex) number
x is a real (correspondingly, complex) solution
y to the equation:
- y3 = x,
which leads to the equivalent notation for cube and other roots that
A complex number has three cube roots. A real number has a unique real cube root, but when treated as a complex number it has two further cube roots, which are complex conjugates of each other.
For instance, the cube roots of unity are 1, (-1+√3i)/2 and (-1-√3i)/2 .
See also:
