## Putnam 1998 B6

Prove that, for any integers \(a, b, c\), there exists a positive integer \(n\) such that \(\sqrt{n^3 + an^2 + bn + c}\) is **not** an integer.

**Source:**Putnam 1998

Prove that, for any integers \(a, b, c\), there exists a positive integer \(n\) such that \(\sqrt{n^3 + an^2 + bn + c}\) is **not** an integer.