What is the following quotient? \( \frac{\sqrt{96}}{\sqrt{8}} \)

To simplify the quotient \( \frac{\sqrt{96}}{\sqrt{8}} \), we can use the property of square roots that states \( \frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}} \). Thus, we have: \[ \frac{\sqrt{96}}{\sqrt{8}} = \sqrt{\frac{96}{8}} = \sqrt{12} \] Now, we can simplify \( \sqrt{12} \) further: \[ \sqrt{12} = \sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3} \] Therefore, the simplified quotient is: \[ 2\sqrt{3} \]