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RE [OT?] status of sqrt(2)^sqrt(2)

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  • Jose Ramón Brox
    ... From: Jose Ramón Brox To: Prime Numbers Sent: Saturday, October 23, 2004 7:47 PM Subject:
    Message 1 of 2 , Oct 23, 2004
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      ----- Original Message -----
      From: "Jose Ramón Brox" <ambroxius@...>
      To: "Prime Numbers" <primenumbers@yahoogroups.com>
      Sent: Saturday, October 23, 2004 7:47 PM
      Subject: [PrimeNumbers] RE [OT?] status of sqrt(2)^sqrt(2)


      > 8 = 9 -1 --> 8 < 9 <--> 2^3 < 3^2 --> 2*Sqrt(2) < 3 --> Sqrt(2) < 3/2
      >
      > Sqrt(2) < 3/2 --> 2^Sqrt(2) < 2^(3/2) = Sqrt(8) < Sqrt(9) = 3
      >
      > Sqrt(2) < 3 QED

      A typo... it is 2^Sqrt(2) < 3

      Jose Brox
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