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a, b, c are different positive integers such that a + b, a + c, b + c are all perfect squares.  What is the smallest possible value of the sum a + b + c?

 Oct 29, 2019
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The smallest a, b, c that I got are:

 

a=2, b=2, c=2

 

So: a + b + c =2 + 2 + 2 =6

 Oct 29, 2019

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