Use the imaginary number \( i \) to rewrite the expression below as a complex number. Simplify all radicals. \( -10-\sqrt{-68} \)

To rewrite the expression \( -10 - \sqrt{-68} \) as a complex number, we first note that \( \sqrt{-68} \) can be expressed using the imaginary unit \( i \). We start by simplifying \( \sqrt{-68} \): \[ \sqrt{-68} = \sqrt{68} \cdot \sqrt{-1} = \sqrt{68} i \] Next, we simplify \( \sqrt{68} \): \[ \sqrt{68} = \sqrt{4 \times 17} = \sqrt{4} \cdot \sqrt{17} = 2\sqrt{17} \] Now, substituting this back into our expression gives us: \[ -10 - \sqrt{-68} = -10 - 2\sqrt{17} i \] So the final expression as a complex number is: \[ -10 - 2\sqrt{17} i \]