If we could define i=$\sqrt{-1}$, then why can't we say k= $\frac{1}{0}$ ?
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See also https://math.stackexchange.com/questions/259584/why-dont-we-define-imaginary-numbers-for-every-impossibility and https://math.stackexchange.com/questions/125186/why-not-to-extend-the-set-of-natural-numbers-to-make-it-closed-under-division-by. – Hans Lundmark Nov 27 '21 at 10:43