))....(ii) fork=0,1,...,6 So,z3=8(0−i)=−8i‌‌[Using Eq. (i)] Now, we know that the product ofnthroot of a complex numberAis given by(−1)n−1A, if A is a real number. Since,n=7is odd, the product of the 7 roots of A is A itself. ∴The product of the 7th roots of A is A itself. ∴‌‌(√3−i)‌