ROOTS OF UNITY

Illustration|| nth Root OF Unity || Discussion OF ex.-4(1)

Cube Root Of Unity -With Examples |nth Root Of Unity -With Examples |Concept Of Rotation |OMR

Properties Of Argument -With Exercise Questions |Demoivre's Theorem |Cube Root Of Unity |OMR

Nth root OF unity

Illustration on nth root OF unity, Discussion OF ex.-4(1)

Introduction and Cube root of Unity

A root of unity is a complex number that is a solution to the equation,z^(n)=1 for some positive integer nNumber of roots of unity that are also the roots of the equation z^(2)+az+b=0, for some integer a and b is

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 alpha Is the fifth root of unity,then :

If alpha the fifth root of unity then