| i? And would that absolute value then be 1?
The square root of 1 is 1.
The square root of -1 is i.
What makes i and imaginary number is that one cannot attribute a positive sign to it, as 12 = 1, and one cannot attribute a negative sign to it as -12 = 1.
In order to have a product of 1, the only factor one can have is 1.
In order to have a product of -1, the only factors are -1 and 1, multiplied together. The absolute value of each factor of 1 is 1. The absolute value of each factor of -1 is 1.
Therefore the absolute value of i is 1.
Does that make any sense? |