a) \(x^2>4\Leftrightarrow\sqrt{x^2}>\sqrt{4}\Leftrightarrow\left|x\right|>2\Leftrightarrow\left[{}\begin{matrix}x>2\\x< -2\end{matrix}\right.\)
b)\(x^2\le5\Leftrightarrow\sqrt{x^2}\le\sqrt{5}\Leftrightarrow\left|x\right|\le\sqrt{5}\Leftrightarrow-\sqrt{5}\le x\le\sqrt{5}\)