[Step-by-Step] Prove the following statements. If 0 If n ∈ N, then 4 n+2 is not a square number, i.e., one cannot find a m ∈ N such that 4 n+2=m^2.


Question: Prove the following statements.

  1. If \(0
  2. If \(n \in \mathbb{N}\), then \(4 n+2\) is not a square number, i.e., one cannot find a \(m \in \mathrm{N}\) such that \(4 n+2=m^{2}\).
  3. If \(x>0\), then \(x+\frac{1}{x} \geq 2\).

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