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1 April, 12:48

Explain why the sum of a rational number and an irrational number is always irrational

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  1. 1 April, 15:33
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    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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