In: Advanced Math
Which of the following sets are rings with respect to the usual operations of addition and multiplication? If the set is a ring, is it also a field? can you explain in detail, I really do not understand how to prove.
Q(√2,√3)={a+b√2+c√3+d√6:a,b,c,d∈Q}
R={a+b3√3:a,b∈Q}