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Is a rational number plus an irrational number irrational?

Olivia Davis | 2023-06-09 02:44:56 | page views：1023
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Penelope Baker

Studied at University of Toronto, Lives in Toronto, Canada
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.
2023-06-19 02:44:56
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Savannah White

QuesHub.com delivers expert answers and knowledge to you.
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.
Sum of Rational and Irrational Is Irrational - Implementing the ...
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