1. The problem asks to rewrite the expression $\sqrt{-62}$ as a complex number using the imaginary unit $i$. 2. Recall that the imaginary unit $i$ is defined as $i = \sqrt{-1}$. 3. Using this definition, we can rewrite $\sqrt{-62}$ as $\sqrt{-1 \times 62} = \sqrt{-1} \times \sqrt{62} = i \sqrt{62}$. 4. Since $62$ is positive and cannot be simplified further under the square root, the expression in simplest form is $i \sqrt{62}$. Therefore, the complex number form of $\sqrt{-62}$ is $i \sqrt{62}$.