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Elements Of Modern Algebra
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 19E: Prove that if is a nonzero rational number and is irrational, then is irrational.
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1. Show that between any two rational numbers there are infinitely many rational numbers. (Hint: Let a and b be rationals. Use the fact that between any rational numbers, there is another rational number, repeatedly)
Transcribed Image Text:1. Show that between any two rational numbers there are infinitely many rational numbers. (Hint: Let a and b be rationals. Use the fact that between any rational numbers, there is another rational number, repeatedly)
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