Multiply. Write your answer in simplest form. \[ \sqrt{7} \cdot \sqrt{6} \]

To multiply the square roots and simplify the expression: \[ \sqrt{7} \cdot \sqrt{6} \] You can use the property of square roots that states: \[ \sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b} \] Applying this property: \[ \sqrt{7} \cdot \sqrt{6} = \sqrt{7 \times 6} = \sqrt{42} \] The number 42 can be factored into \(2 \times 3 \times 7\), none of which are perfect squares. Therefore, \(\sqrt{42}\) is already in its simplest form. **Final Answer:** \[ \sqrt{42} \]