Statement Problem: The cube root is like the square root and should only be defined on the positive x-axis?
Solution:
The cube is unlike the square root because the result of a cube root can be any real number, that is positive values, negative values and zero.
Also, the radicand of a cube root can be negative while still achieving a real result for the cube root. But when a radicand of a square root is negative, then the result is a complex number.