I agree we could forget about them. But how? I believe there are these two main possibilities:
1. We state that imaginary numbers cannot be mathematically interactive with real numbers.
OR
2. We state that there are no such thing as imaginary numbers (or that they are false conjectures).
There is a good thing about each and a bad thing about each:
The first allows us to keep imaginary numbers which solve many problems in mathematics, specially that of sqrt/-n, but it requiers a proof that imaginary numbers and real numbers are closed sets which cannot interact in equations (for if they could, complex numbers would be formed).
The second helps us because we don't need to prove that imaginary numbers can't interact with real ones, but it has the problem that we must prove that imaginary numbers are false, and give a substitude solution for sqrt/-n.
Which do you choose and why?


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