According to a calculus instructor I had, imaginary numbers are essential for electrical engineering. So, if imaginary numbers weren't real, all the computers that this site is on and that you use to access it wouldn't exist either.
As someone who had to take a small electrical engineering class in college yes, this is correct and imaginarny numbers have plenty of applications in electricity and electronics.
Even if it is not the most obvious application, imaginary numbers can and definitely do exist in the "real world"
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