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Math.purdue.edu/pow/ Fall2011/pdf/solutio N10.pdf

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Yes, there are positive irrational numbers a and b such that ab is rational, as demonstrated by the example where a and b are both √2, or a = √2√2 and b = √2, resulting in ab = 2, which is rational.

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Yes, there are positive irrational numbers a and b such that ab is rational, as demonstrated by the example where a and b are both √2, or a = √2√2 and b = √2,...

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