If `nge3and1,alpha_(1),alpha_(2),.......,alpha_(n-1)` are nth roots of unity then the sum `sum_(1leiltjlen-1)alpha_(i)alpha(j)=`

if alpha_(1),alpha_(2),.... alpha_(8) are the 8 th roots of unity then:

If n>=3 and 1,alpha_(1),alpha_(2),alpha_(3)...alpha_(n-1) are the n, nth roots of unity then find the value of sum_(1<=i

If n ge3 and 1,alpha_1, alpha_2, alpha_3....alpha_(n-1) are the , nth roots of unity then find the value of sum_(1 le i lt j le (n-1)) (alpha_i alpha_j )

If 1,alpha_(1),alpha_(2),………..,alpha_(n-1) are nk^(th) roots of unity, then the value of (1-alpha_(1))(1-alpha_(2))(1-alpha_(3))……(1-alpha_(n-1)) is equal to

If nge3and1,alpha_(1),alpha_(2),alpha_(3),...,alpha_(n-1) are the n,nth roots of unity, then find value of (sumsum)_("1"le"i" lt "j" le "n" - "1" ) alpha _ "i" alpha _ "j"

If nge3and1,alpha_(1),alpha_(2),alpha_(3),...,alpha_(n-1) are the n,nth roots of unity, then find value of (sumsum)_("1"le"i" lt "j" le "n" - "1" ) alpha _ "i" alpha _ "j"

If nge3and1,alpha_(1),alpha_(2),alpha_(3),...,alpha_(n-1) are the n,nth roots of unity, then find value of (sumsum)_("1"le"i" lt "j" le "n" - "1" ) alpha _ "i" alpha _ "j"

If alpha_(0),alpha_(1),alpha_(2),...,alpha_(n-1) are the n, nth roots of the unity , then find the value of sum_(i=0)^(n-1)(alpha_(i))/(2-alpha_(i)).

If alpha_(0),alpha_(1),alpha_(2),...,alpha_(n-1) are the n, nth roots of the unity , then find the value of sum_(i=0)^(n-1)(alpha_(i))/(2-a_(i)).

If 1,alpha_(1),alpha_(2),...,alpha_(n-1) are the n, nth roots of the unity , then find the value of sum_(i=0)^(n-1)(1)/(2-a_(i)).