If `alpha` is an imaginary fifth root of unity, then `log_(2)|1+alpha+alpha^(2)+alpha^(3)-1/alpha|=`

If alpha is an imaginary fifth root of unity then log _(2)|1+alpha+alpha^(2)+alpha^(3)-(1)/(alpha)|=

If alpha!=1 is a fifth root of unity,then log_(sqrt(3))|1+alpha+alpha^(2)+alpha^(3)-(2)/(alpha)|=

If alpha Is the fifth root of unity, then, prove that : Log_2|1+alpha+alpha^(2)+alpha^(3)-(1/alpha)|=1

If alpha is a non-real fifth root of unity, then the value of 3^(|1+alpha+alpha^(2),alpha^(-2)-alpha^(-1)| , is

If alpha is a non-real fifth root of unity, then the value of 3^(|1+alpha+alpha^(2),alpha^(-2)-alpha^(-1)| , is

If alpha the fifth root of unity then

If alpha is the complex fifth root of unity, then |1+alpha + alpha^(2)| =

If alpha is non real fifth root of unity then alpha^(101)+alpha^(102)+alpha^(103)+alpha^(104)+alpha^(105) is

If alpha Is the fifth root of unity, then :

If alpha is an n^(th) roots of unity, then 1+2alpha+3alpha^(2)+……..+nalpha^(n-1) equals