SOLUTION: What is the smallest value of f that satisfies a^2+b^2+c^2+d^2+e^2 = f^2, given that a,b,c,d,e and f are all positive integers, not necessarily different? Note : not necessarily

Algebra ->  Exponents -> SOLUTION: What is the smallest value of f that satisfies a^2+b^2+c^2+d^2+e^2 = f^2, given that a,b,c,d,e and f are all positive integers, not necessarily different? Note : not necessarily      Log On


   

Question 1145112: What is the smallest value of f that satisfies a^2+b^2+c^2+d^2+e^2 = f^2, given that a,b,c,d,e and f are all positive integers, not necessarily different?
Note : not necessarily different...
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
I get highlight%28f=4%29

+1%5E2%2B1%5E2%2B1%5E2%2B2%5E2%2B3%5E2+=+1%2B1%2B1%2B4%2B9+=+16+=+4%5E2+
I couldn't find values for a,b,c,d, and e that work for anything smaller than f=4.