How do you find abs(i^2)?

1 Answer
Apr 16, 2016

abs(i^2) = 1

Explanation:

i is the square root of -1, or

i = sqrt(-1).

Therefore,

i^2 = -1,

simply by the definition of a square root.

Ultimate value (abs) can be thought of as the distance of a certain number from 0, always as a positive number, so

abs(-1) = 1

and, by extension,

abs(i^2) = 1