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true or false? why , if A an infinite set of irrational numbers, then A is uncountable

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter7: Real And Complex Numbers

Section7.1: The Field Of Real Numbers

Problem 13E: Prove that is irrational. (That is, prove there is no rational number such that .)

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