+0  
 
0
31
1
avatar

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

 Sep 28, 2020
 #1
avatar
0

 

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. 

.

 Sep 28, 2020
edited by Guest  Sep 28, 2020

15 Online Users

avatar