Use the imaginary number \( i \) to rewrite the expression below as a complex number. Simplify all radicals. \( -8+\sqrt{-81} \) \begin{tabular}{|l}\hline\( i \) \\ \hline\end{tabular}

To rewrite the expression \( -8+\sqrt{-81} \) as a complex number, we start by recognizing that \( \sqrt{-81} \) can be expressed using the imaginary unit \( i \). Specifically, we have: \[ \sqrt{-81} = \sqrt{81} \cdot \sqrt{-1} = 9i \] Now, substituting this back into the original expression gives us: \[ -8 + \sqrt{-81} = -8 + 9i \] Thus, the expression simplifies to: \[ -8 + 9i \] And there you have it! The complex number form of the expression is \( -8 + 9i \).