If `omega` is a complex cube root of unity, then find the value of `(1+omega)(1+omega^(2)) (1+omega^(4)) (1+ omega^(5))` …to 2n factors.

If omega is a cube root of unity, then find (3+5omega+3omega^(2))^(2)+ (3 +3omega+5omega^(2))^(2)

If omega is a complex cube root of unity, then the value of sin{(omega^(10)+omega^(23))pi-(pi)/(6)} is a) (1)/(sqrt(2)) b) (sqrt(3))/(2) c) -(1)/(sqrt(2)) d) (1)/(2)

If omega is an imaginary cube root of unity, then (1 + omega - omega^(2))^(7) is equal to

If omega is a complex cube root of unity, then value of Delta=|(a_(1)+b_(1)omega,a_(1)omega^(2)+b_(1),c_(1)+b_(1)omega),(a_(2)+b_(2)omega,a_(2)omega^(2)+b_(2),c_(2)+b_(2)omega),(a_(3)+b_(3)omega,a_(3)omega^(2)+b_(3),c_(3)+b_(3)omega)| is a)0 b)-1 c)2 d)None of these

If a, b, c are integers, no two of them being equal and omega is complex cube root of unity, then minimum value of |a+b omega| + c omega^(2)| is

If omega is a complex cube root of unity, show that [[1 , omega, omega^2], [ omega, omega^2, 1],[ omega^2, 1, omega]] [[1],[ omega],[ omega^2]]=[[0],[ 0],[ 0]]

If omegane1 is a cube root of unity , then the value of |(1,1+i+w^2,w^2),(1-i,-1,w^2 -1),(-i,-1+w-i,-1)| , is

If omega be the complex cube root of unity and matrix H=[(omega,0),(0,omega)] , then H^(70) is equal to a)0 b)-H c)H d) H^(2)

If 1, omega_(1), omega_(2),…omega_(6) " are " 7^(th) roots of unity then Im (omega_(1) + omega_(2)+ omega_(4)) is equal to