Prove that the set

Q[√3] = {a+b√3 : a, b = Q}

is a field.​

Prove that the set

Q[√3] = {a+b√3 : a, b = Q}

is a field.​

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1 thought on “Prove that the set<br /><br />Q[√3] = {a+b√3 : a, b = Q}<br /><br />is a field.​”

  1. Answer:

    Show that the set Q[√2]={a+b√2∣a,b∈Q} is a field with the usual multiplication and addition. It is easy enough to show that it is closed under …

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