The n th roots of unity are in

Step-by-step solution

Let x = 1 = cos 0 ° + i sin 0 ° ⇒   x 1 / n = e i 2 π r / n ;   r = 0 ,   1 ,   2 , … Then, the roots are 1 ,   e 2 π i n ,   e 4 π i n , … which are clearly on GP with common ratio e 2 π i / n