Nth roots OF unity

Nth root OF unity

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

Find the number of common roots of 15^(th) roots of unity, which are also 25^(th) roots of unity .

Product of 4^(th) roots of unity is

Roots OF complex numbers || De moivre's theorem || Cube roots OF unity

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

If alpha(!=1) is a nth root of unity then S=1+3 alpha+5 alpha^(2)+......... upto n terms is equal to

If omega!=1. is nth root of unity,and (omega+x)^(n)=1+bar(omega)+(n-1)/(2n)bar(omega)^(2)+... then value of x