root -1 is i - and we get into complex numbers. If I ever end up with needing to deal with a square root of a number that might be -1 then I'll do it the old fashioned way and test for that and sort it. What is the problem here? root -1 is well defined!
Equally (lol) 1.0/0.0 and 1/0 can be tricky to handle but not beyond whit of person. In those cases it is syntax and and a ... few other things. Is 1.0 === 1.00 etc? Define your rules, work in the space that you have defined and all will be fine.
It is a complete nonsense to require "real" world maths to be correct in your program. Your program is your little world. If it needs to deal with math like concepts then that is down to you how it works. In your programming language you get some methods and functions and they often have familiar names but they do not work like the "real thing" unless you get them to.
numpy and the like exist for a very good reason: A general purpose programming language will cock up very soon.
Do basic and very simple arithmetic in your chosen language if it is well formed, switch to sophisticated addons as soon as is practicable.
