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Between a rational and a irrational

  1. Nov 3, 2008 #1
    Hello.
    Between a rational and a irrational is there a rational? and a irrational? and vice-versa?
    I know that between 2 rationals there is a rational and a irrational and that between 2 irrationals there is a rational and a irrational, but i cannot figure this out... please help.
    Thanks.
     
  2. jcsd
  3. Nov 3, 2008 #2
    Let I be the irrational number and r be the rational number. If I > r, consider the number d = I - r.
     
  4. Nov 3, 2008 #3
    between any two unequal number there is a rational and irrational number. It's easiest to see this in decimal representation.
     
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