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From the statements below, select the ones which are correct. For the correct statements write down a proof on paper; for the incorrect statements, com up with a counterexample. If p and q are rational, then so is -7p8 - 11q2. If y is irrational, then so is y³. If r is rational and non-zero, then so is 27. If a and b are irrational, then so is ab. □ Ifa is rational, then √ is irrational. None of the above

From the statements below, select the ones which are correct. For the correct statements write down a proof on paper; for the incorrect statements, com up with a counterexample. If p and q are rational, then so is -7p8 - 11q2. If y is irrational, then so is y³. If r is rational and non-zero, then so is 27. If a and b are irrational, then so is ab. □ Ifa is rational, then √ is irrational. None of the above

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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From the statements below, select the ones which are correct. For the correct statements write down a proof on paper; for the incorrect statements, come up with a counterexample. □ If p and q are rational, then so is -7p8 - 11q². If y is irrational, then so is y³. □ If r is rational and non-zero, then so is 27. If a and b are irrational, then so is ab. □ Ifa is rational, then √ is irrational. O None of the above Not Answered
Transcribed Image Text:From the statements below, select the ones which are correct. For the correct statements write down a proof on paper; for the incorrect statements, come up with a counterexample. □ If p and q are rational, then so is -7p8 - 11q². If y is irrational, then so is y³. □ If r is rational and non-zero, then so is 27. If a and b are irrational, then so is ab. □ Ifa is rational, then √ is irrational. O None of the above Not Answered
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