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**Samson** Hello everybody,

I reached this long section in my book about Q Fields, and after reading through this section, a couple of the examples have me feeling less than enlightened. Here they are:

1. If alpha = a + b*Sqrt(d) (which exists in) Q[Sqrt(d)], an expression for a/a_bar in terms of a,b, and d can be found, assuming d is not a perfect square. I read this and was like what????

My work thus far: I don't know what they mean by a/a_bar. I know I did Sqrt[(alpha-a)/b)=d and somehow we force d not to be an integer... perhaps they mean a_bar = alpha-a ? No clue

2. Does anyone know if every element of Q[Sqrt(2)] have a square root in Q[Sqrt(2)] ? Can this be proven/disproven with a counterexample?

I just have problems entirely on where to go with that one.

I really appreciate any and all help! Thank you!