Prove the following statements using contradiction. Please do them on a separate sheet of paper, separate from your notes. (1) Let a and b be real numbers where a is rational and ab is irra- tional. Show that b is irrational. (a) Scratchwork: (b) Proof:
Prove the following statements using contradiction. Please do them on a separate sheet of paper, separate from your notes. (1) Let a and b be real numbers where a is rational and ab is irra- tional. Show that b is irrational. (a) Scratchwork: (b) Proof:
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 20E: Give counterexamples for the following statements.
If and are irrational, then is irrational.
If ...
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