Multiply or divide, as indicated. Simplify the answer. 2) \( \frac{\sqrt{-112}}{\sqrt{-7}} \)

To simplify the expression \( \frac{\sqrt{-112}}{\sqrt{-7}} \), follow these steps: 1. **Express Square Roots of Negative Numbers:** Recall that \( \sqrt{-a} = i\sqrt{a} \), where \( i \) is the imaginary unit (\( i = \sqrt{-1} \)). \[ \frac{\sqrt{-112}}{\sqrt{-7}} = \frac{i\sqrt{112}}{i\sqrt{7}} \] 2. **Simplify the Imaginary Units:** The \( i \) terms cancel out: \[ \frac{i\sqrt{112}}{i\sqrt{7}} = \frac{\sqrt{112}}{\sqrt{7}} \] 3. **Divide the Radicands:** \[ \frac{\sqrt{112}}{\sqrt{7}} = \sqrt{\frac{112}{7}} = \sqrt{16} \] 4. **Simplify the Square Root:** \[ \sqrt{16} = 4 \] **Final Answer:** \[ 4 \]