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Is (2^1/2 + 7^1/3)^1/2 irrational?

  1. Feb 14, 2012 #1

    So I proved that 71/3 is irrational, and I know 21/2 is irrational, but how can I show if (21/2 + 71/3)1/2 is irrational?

    Hint of where to start?
  2. jcsd
  3. Feb 14, 2012 #2
    Never mind, figured it out.
  4. Feb 14, 2012 #3
    Can you give a summary as to how you figured it out?

    I was working on it after you posted it.
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