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1. Suppose m is an integer. Prove that if m³ is even, then m must be as well. 2. Let x = R. Prove that if x is irrational, then I must be irrational too. 3. Let y = R. Prove or disprove that if y² is irrational, then y³ is irrational too.

1. Suppose m is an integer. Prove that if m³ is even, then m must be as well. 2. Let x = R. Prove that if x is irrational, then I must be irrational too. 3. Let y = R. Prove or disprove that if y² is irrational, then y³ is irrational too.

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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1. Suppose m is an integer. Prove that if m³ is even, then m must be as well. 2. Let x = R. Prove that if x is irrational, then I must be irrational too. 3. Let y = R. Prove or disprove that if y² is irrational, then y³ is irrational too.
Transcribed Image Text:1. Suppose m is an integer. Prove that if m³ is even, then m must be as well. 2. Let x = R. Prove that if x is irrational, then I must be irrational too. 3. Let y = R. Prove or disprove that if y² is irrational, then y³ is irrational too.
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