Complex Numbers And Quadratic Equations question 473

Question: Let $ z={{( \frac{\sqrt{3}}{2}+\frac{i}{2} )}^{5}}+{{( \frac{\sqrt{3}}{2}-\frac{i}{2} )}^{5}}. $ and $ R(z) $ and $ I(z) $ respectively denote the real and imaginary parts of z, then the product of $ R(z) $ and $ I(z) $ is

Solution:

Answer: 0