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Thread: Ten Root

  1. #1
    Mar 2010

    Question Ten Root

    The problem is: Find the smallest integer greater than 1 that has a square root, a cube root, a fourth root, a fifth root, a sixth root, a seventh root, an eighth root, a ninth root, and a tenth root, all perfect.

    I have been working at this problem and the only progress I've made is that I know the interger has to end in a 0, 1, 5, or 6. And the integer is BIG, greater than 11^10.

    I know that n^2= m^3=x^4 and so on but I don't know if this is useful

    Will someone please help!! I'm so stuck
    Last edited by math61688; Apr 23rd 2010 at 07:25 AM.
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  2. #2
    MHF Contributor chiph588@'s Avatar
    Sep 2008
    Champaign, Illinois
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