Multiply. Write your answer in simplest form. \( \sqrt{40} \cdot \sqrt{11} \)

To multiply \( \sqrt{40} \) and \( \sqrt{11} \) and express the result in its simplest form, follow these steps: 1. **Use the Property of Square Roots**: \[ \sqrt{a} \cdot \sqrt{b} = \sqrt{a \times b} \] Applying this property: \[ \sqrt{40} \cdot \sqrt{11} = \sqrt{40 \times 11} = \sqrt{440} \] 2. **Simplify \( \sqrt{440} \)**: Factorize 440 to find any perfect squares: \[ 440 = 4 \times 110 \] Since 4 is a perfect square (\( 2^2 \)): \[ \sqrt{440} = \sqrt{4 \times 110} = \sqrt{4} \times \sqrt{110} = 2 \times \sqrt{110} \] 3. **Final Answer**: The expression \( \sqrt{40} \cdot \sqrt{11} \) simplified is: \[ 2\sqrt{110} \] **Answer:** \( 2\sqrt{110} \)