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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)

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Answer?

| Comment 16 of 18 |

Making a computer program that evaluates for a from 1 to 999, and b from 1 to (sqrt(1000)-sqrt(a))^2, and eliminating multiple solutions of x, I got 211 solutions.

Posted by Justin on 2005-05-15 05:46:54

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