John, Debbie and Sam are discussing real, imaginary and complex numbers. PART A) John states that the product of two real numbers is a real number. Extending this to imaginary numbers John states that the product of two imaginary numbers must be imaginary. Is his statement correct? B) Sam tells the others that when multiplying a complex number by its conjugate, the solution will NOT be a real number. Is Sam's statement correct? PART C) Debbie showed John and Sam her solution to a homework problem. Looking at her final answer, John stated there must be a mistake. How did John know there was an