A+ Work

Fields are an important algebraic structure, and complex numbers have that structure. Task: A. Use de Moivre’s formula to verify that the 5th roots of unity form a group under complex multiplication, showing all work. B. Let F be a field. Let S and T be
subfields of F. 1. Use the definitions of a field and a subfield to prove that S ∩ T is a field, showing all work