Concept explainers
Let S be the statement: The cube root of every irrational number is irrational. This statement is true, but the following “proof” is incorrect. Explain the mistake.
“Proof (by contradiction): Suppose not.
Suppose the cube root of every irrational number is rational. But
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Chapter 4 Solutions
Discrete Mathematics With Applications
- Use the fact that 3 is a prime to prove that there do not exist nonzero integers a and b such that a2=3b2. Explain how this proves that 3 is not a rational number.arrow_forwardGive counterexamples for the following statements. If and are irrational, then is irrational. If and are irrational, then is irrational.arrow_forwardConsider the following set: {5,4,23,0,1,2,2,2.75,6,7} Which numbers are irrational numbers?arrow_forward
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