If ‘p’ and ‘q’ are distinct prime numbers, than the number of distinct imaginary numbers which are as well as roots of unity are -
1
0
As we have learnt in
nth roots of unity -
Where k=0,1,2,......,(n-1)
-
p and q are prime numbers
Hence their factors will be
p = 1 X p
q = 1 X q
Therefore
.
.
.
and so on..
Since
and it is not an imaginary root.
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