In general, an nth root of unit f is called primitive if all the nth roots of unity are obtained by raising it to successive powers 1, , 2, 3, (a) Find all primitive (i) Fourth (ii) Fifth (iii) Ninth roots of unity (b) Can you characterize all the primitive nth roots of unity ...

a i i i ii e 2ki5 for k 1 2 3 o ...

In general, an nth root of unit f is called primitive if all the nth roots of

Question:

In general, an nth root of unit f is called primitive if all the nth roots of unity are obtained by raising it to successive powers: 1, ζ, ζ2, ζ3, ....
(a) Find all primitive
(i) Fourth
(ii) Fifth
(iii) Ninth roots of unity
(b) Can you characterize all the primitive nth roots of unity?