Perfect squares...

1 problem from FMO.

Given that \sqrt{n}+\sqrt{n+2005} is an integer.

Find all integers n for which it is true.

5 Answers

341

Hari Shankar ·2010-06-30 00:29:32

Rather easy for a national olympiad isnt it? n = 198² or n = 1002²

yup, sir....even I cud solve it, so this was a bit on the easier side........and it's always on the same side for u.

One of the answers is definitely n=196.

341

Hari Shankar ·2010-07-08 01:28:38

I love your confidence, but you may be speaking of a base other than decimal.

Sorry .... I didn't get u.

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