I don't think so. You can have imaginary rationals, or even imaginary natural numbers (that is, a+bi, where both a and b are rational numbers or integers). Al

I don't think so. You can have imaginary rationals, or even imaginary natural numbers (that is, a+bi, where both a and b are rational numbers or integers). Although I will admit that a big part of the point of the reals was solutions to polynomials, and it takes complex numbers to be able to solve them all.