(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

prove that if n is a natural number greater than 0, then sqrt(n^2 + 1) is not a natural number.

2. Relevant equations

3. The attempt at a solution

I can't tell if I am right, which probably means that I am not.

Assume sqrt(n^2+1) is a natural number. Then there is a natural number j such that j = sqrt(n^2+1). Thus

j^2 = n^2 + 1. Then, I am stuck.

It seems too easy to prove, is there some little trick I am missing.

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# Homework Help: Square root of a square plus 1

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