- #1
grjmmr
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Homework Statement
k:= {s+t√2:s,t[itex]\in[/itex]Q}, if x1 and x2 [itex]\in[/itex] K, prove x1 +x2[itex]\in[/itex]K
Homework Equations
The Attempt at a Solution
My thought is that x1 and x2 [itex]\in[/itex]K[itex]\in[/itex]Q[itex]\subseteq[/itex]R thus by algerbraic properties X1+x2 =X3 which also [itex]\in[/itex] K. this seems just a little too easy, am i correct in my line of thinking?