Use strong induction to prove that is irrational. [Hint:

Chapter 5, Problem 9E

(choose chapter or problem)

Use strong induction to prove that \(\sqrt{2}\) is irrational. [Hint: Let \(P(n)\) be the statement that \(\sqrt{2} \neq n / b\) for any positive integer \(b\).]

Equation Transcription:

 

Text Transcription:

sqrt{2}

P(n)

\sqrt{2} \neq n / b

b

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