Question

What value is the nth root of unity for any value n?

Answer 1

z^n = 1 = e^(2kπi)

z = e^(((2kπ)/n)i) where k ϵ {0,1,2,...,n-1}

z = cos((2kπ)/n) + isin((2kπ)/n)

Answer 2

this should work

Answer 3

1

Answer 4

not allowed to give direct answers

Answer 5

You are looking for this:
\[\color{green}{\sqrt[n]{1}}\]

Answer 6

@IrishBoy123 the answer is just 1?

Answer 7

hello @KJ4UTS

if right now you are studying philosophy or something else, or talking to a priest or rabbi, the answer could be "green" or "just over there" or "its a mystery of the faith" or "Elvis". within the physicals sciences, i'd go for 1.

Answer 8

@IrishBoy123 sorry I accidentally put it in the physics category. Thanks for your help :)

Answer 9

cool :-))