If z is a real number, then is defined recursively for non-negative integers
If z is a positive real number, and b a natural number, then we may define the positive bth root
to be the positive real number y such that
You may assume that a positive real number always has a positive bth root.
a) Given a positive real number z, is it possible for there to be two different positive bth roots of z? Justify your answer briefly.
Any help would be greatly appreciated :)