Question
In: Advanced Math
Which of the following sets are rings with respect to the usual operations of addition and...
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}
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R={a+b3√3:a,b∈Q}
Solutions
Expert Solution
Since for (b) R={a+b3√3:a,b€Q } is not a ring so not field
For (a) Q(√2,√3) I have proved that it is field
Since their are various ways to proof it is field.
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Colby Messinger answered 1 year agoRelated Solutions
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