Thread: nth roots of unity ???

for which n is i an nth root of unity?

hmm, thanks

A root of unity is a complex number that yields 1 when raised to some nth root.

i is defined to be (-1)^(1/2)
i^2 then would be (-1)^(1/2)^2 = (-1)^(2/2) = (-1)^1 = -1
i^3 would be i^2 * i = -1 *i = -1
i^4 would be i^2 * i^2 = -1 * -1 = 1

Every fourth term will result in a value of 1.

Originally Posted by dixie

for which n is i an nth root of unity?

hmm, thanks

The nth roots of unity are .

So you require the integer values of n such that