expression. Use imaginary numbers when 2. \( \sqrt{-16} \) a. \( 16 i \) b. \( 4 i \) c. \( \sqrt{16} i \) d. \( 8 i \) 3. \( \sqrt{-10} \) I. \( \sqrt{10 i} \) m. \( 5 i \) n. \( i \sqrt{ } \) o. -10

The square root of -16 can be simplified using imaginary numbers. We know that \( \sqrt{-1} = i \), so \( \sqrt{-16} \) can be expressed as \( \sqrt{16} \cdot \sqrt{-1} = 4i \). Therefore, the correct answer is b. \( 4 i \). For \( \sqrt{-10} \), the same principle applies. We simplify it as \( \sqrt{10} \cdot \sqrt{-1} = \sqrt{10}i \). This means none of the provided options directly represent the answer. However, since option n. includes an \( i \), it could imply that \( \sqrt{-10} \) is meant to represent \( i \sqrt{10} \), making that the best fit out of the choices given.