Domain

Algebra Level 3

What is the domain of $\dfrac{ \sqrt{x^2-2} }{x^2-4}$ ?

Notation: In the answer choices, $\mathbb R$ denotes the set of real numbers.

[-2,2] \setminus\{ -\sqrt2, \sqrt2\}

\mathbb R \setminus \{-2,2\}

\mathbb R \setminus (-\sqrt2,\sqrt2) \cup \{-2,2\}

\mathbb R \setminus (-\sqrt2,\sqrt2)