Ordered Fields
S={a+b(sqrt2) | a,b in Q}
I need to show that this set is an ordered field under addition and multiplication. The first property of addition states:
A1: For all x,y in R, x + y in R and if x=w and y=z, then x + y = w + z.
What do I substitute to show this. Is x = a, or is x = a+b(sqrt2)???

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@zzr0ck3r Could you help maybe ?

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