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In the equation sqrt(a) + sqrt(b) + sqrt(c) + sqrt(d) + sqrt(e) = sqrt(f), each variable a distinct positive integer. What is the least possible value for f ?

 Nov 5, 2019
 #1
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Well, how about: sqrt(4) + sqrt(9) + sqrt(16) + sqrt(25) + sqrt(36) =sqrt(400) !.

 Nov 5, 2019
 #2
avatar+19913 
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How about:

sqrt(1) + sqr(4) + sqrt(9) + sqrt (16) + sqrt(25) = sqrt (225)  

 Nov 5, 2019
 #3
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EP: Yours much better!.

 Nov 5, 2019
 #4
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Basically just go up by perfect squares,

 

in other words, list the first 6 perfect squares, and the answer should be right in front of you

 Nov 6, 2019

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