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Powerful rational number?


bonanova
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One example of two irrational numbers a and b such that  ab  is rational is where  a = 10  and  b = log(4).
Both  10  and  log(4)  are known to be irrational numbers, yet (√10)log(4) = (10)log(2) = 2, and 2 is definitely rational.

 

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