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Irrational ^ Irrational = Rational (Posted on 2013-03-27) Difficulty: 2 of 5
Prove there exist two irrational numbers A and B such that AB is rational.

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re: No Subject | Comment 2 of 3 |
(In reply to No Subject by Ady TZIDON)

Indeed. Since:

(((x)^(1/2))^((x)^(1/2))) =x^((x^(1/2))/2), it follows that:
(((x)^(1/2))^((x)^(1/2)))^((4x)^(1/2)) = x^x,

so an infinite supply of candidates is assured.

  Posted by broll on 2013-03-27 04:36:56
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