Cube roots of unity

Introduction and Cube root of Unity

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

If omega ne 1 is a cube root of unity, then 1, omega, omega^(2)

The value of |sqrtalpha| , where alpha is a nonreal cube root of unity , is _______.

If omega is a complex cube root of unity, then arg (iomega) + "arg" (iomega^(2))=

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.

If omega!=1 is a cube root of unity,then roots of (x-2i)^(3)+i=0