If `alpha` is a non real root of `x^6=1` then `(alpha^5+alpha^3+alpha+1)/(alpha^2+1)` is

If alpha is a non-real root of x^(6)-1=0 then (alpha^(5)+alpha^(3)+alpha+1)/(alpha^(2)+1)

If alpha is a non-real root of x^(7) = 1 then alpha (1 + alpha)(1 + alpha^(2) + alpha^(4))=

If alpha is a non-real root of x^(7) = 1 then alpha(1 + alpha) (1 + alpha^(2) + alpha^(4)) =

If alpha is a non real root of the equation x^(6)-1=0 then (alpha^(2)+alpha^(3)+alpha^(4)+alpha^(5))/(alpha+1)

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

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

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