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21 May, 17:14

The sum of a rational and irrational number is

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  1. 21 May, 18:06
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    I guess it is irrational
  2. 21 May, 20:56
    0
    Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.
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