My doubt is what are complex numbers used for. Sure I can use them to solve eqns where there are no real solutions. But how does that help. What is the real life application of complex numbers.
Originally posted by Hurkyl
In fact, there is an interesting "paradox" that there exist real numbers that cannot be written in terms of arithmetic and roots without using complex numbers.
Wow! Can you expand on that? (or provide a link)