Simplify, using \( i \) notation as needed. \( \sqrt{-80} \) The answer is \( \square \). (Simplify your answer. Type an exact answer, using radicals and \( i \) as needed.)

To simplify \( \sqrt{-80} \), we start by rewriting it as \( \sqrt{-1 \cdot 80} \). Since \( \sqrt{-1} \) is represented by \( i \), we have: \[ \sqrt{-80} = \sqrt{-1} \cdot \sqrt{80} = i \cdot \sqrt{80} \] Next, we simplify \( \sqrt{80} \): \[ \sqrt{80} = \sqrt{16 \cdot 5} = \sqrt{16} \cdot \sqrt{5} = 4\sqrt{5} \] Combining everything, we get: \[ \sqrt{-80} = i \cdot 4\sqrt{5} = 4i\sqrt{5} \] Thus, the answer is \( 4i\sqrt{5} \).