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Make it solvable (Posted on 2005-05-05)

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(5): First thoughts... ...(spoiler?)

| Comment 8 of 18 |

(In reply to re(4): First thoughts... ...(spoiler?) by Charlie)

Charlie's solution sounds right to me. I agree that my count only included cases where x was a perfect square, and missed situations like (a,b,x) = (2,8,32)

Posted by Steve Herman on 2005-05-05 20:15:00

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