If `cos3 6^(@)+cot(7 1/2@)=sqrt(n_1)+sqrt(n_2)+sqrt(n_3)+sqrt(n_1)+sqrt(n_5)+sqrtn_6,` then the value of `sum_(i=1)^6 n_i^2` must be

If 4cos36^(@)+cot(7(1^(@))/(2))=sqrt(n_(1))+sqrt(n_(2))+sqrt(n_(3))+sqrt(n_(4))+sqrt(n_(5))+sqrt(n_(6)) , then the value of ((Sigma_(i=1)^(6)n_(i)^(2))/(10)) is equal to

If 4cos36^(@)+cot(7(1^(@))/(2))=sqrt(n_(1))+sqrt(n_(2))+sqrt(n_(3))+sqrt(n_(4))+sqrt(n_(5))+sqrt(n_(6)) , then the value of ((Sigma_(i=1)^(6)n_(i)^(2))/(10)) is equal to

If 4 cos 36^(@) + cot(7(1^(@))/(2)) = sqrt(n_(1)) + sqrt(n_(2)) + sqrt(n_(3)) + sqrt(n_(4)) + sqrt(n_(5)) + sqrt(n_(6)) then the product of the digits in sum_(i = 1)^(6) n_(i)^(2) =

If N = ( sqrt7 - sqrt3) //(sqrt7 + sqrt3), then what is the value of N + (1/N)?