Write a detailed proof for the statement: Between every two rational numbers there exists an irrational number.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter0: A Review Of Basic Algebra
Section0.1: Sets Of Real Numbers
Problem 43E: Consider the following set: {5,4,23,0,1,2,2,2.75,6,7} Which numbers are irrational numbers?
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6. Write a detailed proof for the statement: Between every two rational numbers there exists an irrational number.

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