Question

What is the square root of -1? -i i -1 1

Answer 1

Answer:

the square root of -1 is i

Step-by-step explanation:

Well, actually, the square root of -1 (or any negative number at that) is not a real number. What I mean by that is that there is no way to square a real number to get a negative number (ie $2^{2} = 4, -2^{2} =4$, there is no way to square a real number to get -4).

To solve this, mathematicians came up with the "imaginary number" i which, when squared, equals to -1. This allows us to get the square root of negative numbers ($\sqrt{-4} = 2i$) or get negative numbers through squaring ($2i^{2} = -4$).