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Find the smallest value of n so that 37 + n, n/5, and sqrt(n + 144) are all natural numbers.

 Sep 28, 2020
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I just looked at it and got 25.  All I did was see how much it took to get to the next square after 144 and would that number be evenly divisible by 5.  Once you get a number that satisfies the second two conditions, the 37+n is a gimme. 

 

edited to add ~  Zero works too, but I assumed the problem wanted a non-zero solution. 

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 Sep 28, 2020
edited by Guest  Sep 28, 2020

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