Let K := {s + t-..li : s, t E Q}. Show that K satisfies the following: (a) If xl' x2 E

Chapter 2, Problem 8

(choose chapter or problem)

Let K := {s + t-..li : s, t E Q}. Show that K satisfies the following: (a) If xl' x2 E K, then xI + x2 E K and x1x2 E K. (b) If x =1= 0 andx E K, then l/x E K. (Thus the set K is a subfield of JR.With the order inherited from JR.,the set K is an ordered field that lies between Q and JR.). 1

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