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Examine what is the smallest value of m if n^2 = 756m, m, n positve integers?

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ruals | Salutatorian

Posted September 19, 2013 at 2:59 PM via web

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Examine what is the smallest value of m if n^2 = 756m, m, n positve integers?

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted September 19, 2013 at 3:08 PM (Answer #1)

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The smallest value of m has to be determined for which n^2 = 756*m. It is being assumed that n and m have to take on integral values; if that is not the case, there is no limit to how small a value m can equal.

756 = 189*4 = 9*4*21 = 3^2*2^2*7*3 = (3*2)^2*21

For n^2 = 756*m, with the condition that n and m are integers, the smallest value of m is 21.

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