If `1,alpha_1,alpha_2,alpha_3,alpha_4` be the roots `x^5-1=0`, then value of `[omega-alpha_1]/[omega^2-alpha_1].[omega-alpha_2]/[omega^2-alpha_2].[omega-alpha_3]/[omega^2-alpha_3].[omega-alpha_4]/[omega^2-alpha_4]` is (where `omega` is imaginary cube root of unity)

If 1,alpha_(1),alpha_(2),alpha_(3),alpha_(4) be the roots x^(5)-1=0 then value of -alpha_(2)(omega-alpha_(1))/(omega^(2)-alpha_(1))*(omega-alpha_(2))/(omega^(2)-alpha_(2))*(omega-alpha_(3))/(omega^(2)-alpha_(3))*(omega-alpha_(4))/(omega^(2)-alpha_(4)) is (where omega is imaginary cube root of unity)

If alpha_1,alpha_2,alpha_3,alpha_4 be the roots of x^5-1 =0 then prove that (w-alpha_1)/(w^2-alpha_1).(w-alpha_2)/(w^2-alpha_2).(w-alpha_3)/(w^2-alpha_3).(w-alpha_4)/(w^2-alpha_4)=w where w is a nonreal complex cube root of unity.

If 1,alpha_(1),alpha_(2),alpha_(3),alpha_(4) are the fifth roots of unity then sum_(i=1)^(4)(1)/(2-alpha_(i))=

if 1,alpha_1, alpha_2, ……alpha_(3n) be the roots of equation x^(3n+1)-1=0 and omega be an imaginary cube root of unilty then ((omega^2-alpha_1)(omega^2-alpha).(omega^2-alpha(3n)))/((omega-alpha_1)(omega-alpha_2)……(omega-alpha_(3n)))= (A) omega (B) -omega (C) 1 (D) omega^2

If 1,alpha_(1),alpha_(2),alpha_(3),...,alpha_(n-1) are n, nth roots of unity, then (1-alpha_(1))(1-alpha_(2))(1-alpha_(3))...(1-alpha_(n-1)) equals to

If 1,alpha_(1),alpha_(2),alpha_(3),...,alpha_(n-1) are n, nth roots of unity, then (1-alpha_(1))(1-alpha_(2))(1-alpha_(3))...(1-alpha_(n-1)) equals to

If 1,alpha_(1),alpha_(2),alpha_(3),...,alpha_(n-1) are n, nth roots of unity, then (1-alpha_(1))(1-alpha_(2))(1-alpha_(3))...(1-alpha_(n-1)) equals to

If 1,alpha_(1),alpha_(2),alpha_(3),...,alpha_(n-1) are n, nth roots of unity, then (1-alpha_(1))(1-alpha_(2))(1-alpha_(3))...(1-alpha_(n-1)) equals to

If alpha_(1),alpha_(2),alpha_(3),alpha_(4) are the roots of the equation x^(4)+(2-sqrt(3))x^(2)+2+sqrt(3)=0 then find the value of (1-alpha_(1))(1-alpha_(2))(1-alpha_(3))(1-alpha_(4))

If alpha_(1), alpha_(2), alpha_(3), alpha_(4) are the roots of the equation x^(4)+(2-sqrt(3))x^(2)+2+sqrt(3)=0 , then the value of (1-alpha_(1))(1-alpha_(2))(1-alpha_(3))(1-alpha_(4)) is