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CUBE ROOTS OF UNITY

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Introduction and Cube root of Unity

If omega (ne 1) is a cube root of unity and (1 + omega)^(2017) = A + B omega . Then A and B are respectively the numbers

If w is an imaginary cube root of unity then prove that If w is a complex cube root of unity , find the value of (1+w)(1+w^2)(1+w^4)(1+w^8)..... to n factors.

The value of alpha^(-n)+alpha^(-2n), n in N and alpha is a non-real cube root of unity, is

If omega(ne 1) be a cube root of unity and (1+omega)^(7)=A+Bomega , then A and B are respectively the numbers.

If (omega!=1) is a cube root of unity then omega^(5)+omega^(4)+1 is