for which n is i an nth root of unity?

hmm, thanks

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- Jan 7th 2009, 06:46 PMdixienth roots of unity ???
for which n is i an nth root of unity?

hmm, thanks - Jan 7th 2009, 08:44 PMMath Major
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. - Jan 7th 2009, 08:44 PMmr fantastic