# Math Help - Square Inequality Proof

1. ## Square Inequality Proof

Hey all, I would really appreciate some help with this proof.

For all k in the Natural Numbers, k^2 + 1 > k

Could we possibly use induction or contradiction for this proof? Thanks!

2. Originally Posted by jstarks44444
Hey all, I would really appreciate some help with this proof.
For all k in the Natural Numbers, k^2 + 1 > k
You have that $k\ge 1$ so $k^2\ge k$.
But we have shown that $k^2+1>k^2$.