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Make it solvable (Posted on 2005-05-05) Difficulty: 4 of 5
a, b, and x are positive integers such that

sqrt(a) + sqrt(b) = sqrt(x)

How many possible values of x less than or equal to 1000 are there?

See The Solution Submitted by Jer    
Rating: 3.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): First thoughts... ...(spoiler?) | Comment 3 of 16 |
(In reply to re: First thoughts... ...(spoiler?) by Steve Herman)

My initial calculation was wrong.  I was so intent on working out the problem as a sqrt(a)+sqrt(b)<=31 problem that I completely ignored the fact that 1^2+31^2 is still less than 1000, as Steve Herman pointed out.

Not counting reversals, I think the proper number should be 447.
  Posted by Erik O. on 2005-05-05 19:18:56

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