anonymous
  • anonymous
Short proof: Show that 1 and sqrt(2) are not commensurable. I was given the definition "Two real numbers x and y are commensurable if there exists a real number u, and integers m and n so that m(u) = x and n(u) = y."
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chestercat
  • chestercat
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anonymous
  • anonymous
I should mention this is the 3rd question. The first was a proof that any two rational numbers are commensurable. The second was that if x, and a rational number a/b are commensurable, then x is a rational number. I wont write both of these out but they are quite short and I used their implications for my proof. So, unless otherwise requested I will considered them assumed true.
AravindG
  • AravindG
Please post this in Mathematics group. That way there is more probability that your question will be answered.
anonymous
  • anonymous
Arg, thought i was in math, my bad!

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AravindG
  • AravindG
np :) ...Close it and post it there!

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