Consider Q[sqrt(2)]. Does every element of Q[sqrt(2)] have a square root in Q[sqrt(2)]? Prove if true; and give a counterexample if false. I'm thinking it is true, but I can't prove it. Please help!
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Originally Posted by machack Consider Q[sqrt(2)]. Does every element of Q[sqrt(2)] have a square root in Q[sqrt(2)]? Prove if true; and give a counterexample if false. I'm thinking it is true, but I can't prove it. Please help! Suppose , for some , but then: make some order here and show this would imply or some other harsh contradiction . Tonio
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