What is the square root of -1 when you are thinking in terms of a quaternion space?

Question

What is the square root of -1 when you are thinking in terms of a quaternion space?

Answer 1

All quaternions lie on a unit, four dimensional sphere. It's just a quantity that represents a rotation. The imaginary unit retains its definition of -1^(1/2)

Answer 2

i² = j² = k² = ijk = −1



So take the square root of -1 is a variety of answers

Answer 3

I like kitties.



(reserved for BA awarding... the one person who even takes the time to understand the question)

Answer 4

https://www.youtube.com/watch?v=3BR8tK-LuB0

Answer 5

i