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Determine if the following statements are true or false. Prove 2. those that are true and disprove those that are false. (a) 3√2-7 is irrational (b) is rational (c) Ifr is any rational number and s is any irrational number, then r/s is irrational. (d) The product of any two irrational numbers is irrational.

Determine if the following statements are true or false. Prove 2. those that are true and disprove those that are false. (a) 3√2-7 is irrational (b) is rational (c) Ifr is any rational number and s is any irrational number, then r/s is irrational. (d) The product of any 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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Please solve the following discrete math question please: 

**Problem 2** Determine if the following statements are true or false. Prove those that are true and disprove those that are false. (a) \( 3\sqrt{2} - 7 \) is irrational (b) \(\frac{\sqrt{2}}{42}\) is rational (c) If \( r \) is any rational number and \( s \) is any irrational number, then \( r/s \) is irrational. (d) The product of any two irrational numbers is irrational.
Transcribed Image Text:**Problem 2** Determine if the following statements are true or false. Prove those that are true and disprove those that are false. (a) \( 3\sqrt{2} - 7 \) is irrational (b) \(\frac{\sqrt{2}}{42}\) is rational (c) If \( r \) is any rational number and \( s \) is any irrational number, then \( r/s \) is irrational. (d) The product of any two irrational numbers is irrational.
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