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make a possible solution i have no more data plz so dont ask missing refrence 3. 1. , Given a prime number &, we define

make a possible solution i have no more data plz so dont ask missing refrence

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3. 1. , Given a prime number &, we define Q(vX) = (a+ by : a, be Q) CR. This met becomes a field when equipped with the usual addition and multiplication operations inherited from R. (a) For each non-zero a 6 Q(v2) of the form r = a + by2, prove that a- = = (b) Show that v2 { Q( v3). You can use, without proof, the fact that v2, v3, y are all irrational numbers. (c) Show that there cannot be a function o : Q(v2) + Q(v3) so that :(Q(v2) -(0).x) - (Q(v3) -10), x) and (Q(v2).+) - (Q(v3).+) are both group isomorphisms. Hint: What can you say about o(v2 x v2)

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