1.

If ω is the complex cube root of unity, find the value of ω2 + ω3 + ω4

Answer»

ω is the complex cube root of unity.

ω3 = 1 and 1 + ω + ω2 = 0

Also, 1 + ω2 = -ω, 1 + ω = -ω2 and ω + ω2 = -1

ω2 + ω3 + ω4 = ω2 (1 + ω + ω2 )

= ω2 (0)

= 0



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