use well ordering principle to prove that sqrt(6) is not rational

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Colby Messinger answered 1 year ago

Use the Well-Ordering Principle of the natural numbers to prove that every positive rational number x...

Use the Well-Ordering Principle of the natural numbers to prove that every positive rational number x can be expressed as a fraction x = a/b where a and b are postive integers with no common factor.

Can any genius explain me about well-ordering principle - Proofs using well-ordering principle. with some examples.

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1. Prove that √ 5 is not a rational number and Is it true that √...

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1. State the prove The Density Theorem for Rational Numbers.

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In this problem we prove that the Strong Induction Principle and Induction Principle are essentially equiv-...

In this problem we prove that the Strong Induction Principle and Induction Principle are essentially equiv- alent via Well-Ordering Principle. (a) Assume that (i) there is no positive integer less than 1, (ii) if n is a positive integer, there is no positive integer between n and n+1, and (iii) the Principle of Mathematical Induction is true. Prove the Well-Ordering Principle: If X is a nonempty set of positive integers, X contains a least element. (b) Assume the Well-Ordering Principle...

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use well ordering principle to prove that sqrt(6) is not rational

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