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Each of the following statements is either true or false. Determine for each one whether it is true or false, if it is true prove it and if it is false disprove it (that is, prove its negation). a. The sum of two rational numbers is rational. b. The sum of two irrational numbers is irrational.

Each of the following statements is either true or false. Determine for each one whether it is true or false, if it is true prove it and if it is false disprove it (that is, prove its negation). a. The sum of two rational numbers is rational. b. The sum of two irrational numbers is irrational.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Each of the following statements is either true or false. Determine for each one whether it is true or false, if it is true prove it and if it is false disprove it (that is, prove its negation). a. The sum of two rational numbers is rational. b. The sum of two irrational numbers is irrational.
Transcribed Image Text:Each of the following statements is either true or false. Determine for each one whether it is true or false, if it is true prove it and if it is false disprove it (that is, prove its negation). a. The sum of two rational numbers is rational. b. The sum of two irrational numbers is irrational.
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