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If $x^2>0$, then $x>0$

If $x^2>0$, then $x>0$

If $x^2>0$, then $x>0$

Claim:

If $x^2>0$, then $x>0$

Proof:

Let $x=-2$

Then $x^2=4>0$, but $x>0$ is false.

Therefore, by counterexample, the statement is false.

If $n$ is odd, then $n^2$ is odd Research

If $x^2>0$, then $x>0$