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Prove that 2 is irrational. You can use the fact that √2 is irrational.

Prove that 2 is irrational. You can use the fact that √2 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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Now here are some definitions / facts that you need to cite when used. The citing instructions are given after the list. 1. 1 is the smallest positive integer. That is, there does not exist an integer n such that n> 0 and n < 1. 2. An integer n is even if there exists an integer k such that n = 3. An integer n is odd if there exists an integer k such that n = 2k + 1. 4. All integers are even or odd. 5. A real number x is positive if x > 0, and negative if x < 0. 6. All real numbers are either positive, negative, or 0. 2k. m 7. A real number x is rational if there exists integers m, n with n ‡ 0 such that x = n
Transcribed Image Text:Now here are some definitions / facts that you need to cite when used. The citing instructions are given after the list. 1. 1 is the smallest positive integer. That is, there does not exist an integer n such that n> 0 and n < 1. 2. An integer n is even if there exists an integer k such that n = 3. An integer n is odd if there exists an integer k such that n = 2k + 1. 4. All integers are even or odd. 5. A real number x is positive if x > 0, and negative if x < 0. 6. All real numbers are either positive, negative, or 0. 2k. m 7. A real number x is rational if there exists integers m, n with n ‡ 0 such that x = n
5. Prove that 2 is irrational. You can use the fact that √2 is irrational.
Transcribed Image Text:5. Prove that 2 is irrational. You can use the fact that √2 is irrational.
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