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Math Help - Strange Problem has me stumped

  1. #1
    Newbie
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    Sep 2010
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    Strange Problem has me stumped

    Here is the question:
    a, b and c are 3 different, positive integers, and (ab)^2 = abc.

    Which of the following is a possible value for c?
    1
    5
    9
    12

    I know the answer is 12, but i do not understand how to get this, aside from guess and check.
    Any help would be appreciated.
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  2. #2
    Member Mollier's Avatar
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    Nov 2009
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    Hi,

    since (ab)^2 = abc then c = ab.

    Can you multiply 2 different positive a and b to get, say 9 where neither a or b are 9?
    How about 1 and 5?
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