Prove that the set of irrational numbers in [0,1] is not countable.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 35E: Prove that 23 is not a rational number.
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Prove that the set of irrational numbers in [0,1] is not countable.
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