Question

What is the square root of -1?

Answer 1

Answer:

There is no answer.

Step-by-step explanation:

There is no square root of -1. Although 1 can be derived from 1x1, 1 is not the square root of 1 as positive 1 x positive 1 will always give a positive 1. Similarly, negative 1 x negative 1 will always give a positive 1 hence it is not possible for -1 to have a square root.

Answer 2

Answer:

Welcome to the land of complex numbers, aka argand plane.

$\sqrt{-1}=i$

and yes, $i^2=-1$

it's originated by the equation, $x^2+1=0$

the fundamental theorem States a polynomial equation has the same number of roots as its degree. though that equation, doesn't in real plane, it has roots ±$i$.

called iota.