Multiply these imaginary numbers and then select your answer from the choices. Make sure the answer is fully simplified. \[ \sqrt{7} i \cdot \sqrt{6} i \]

When you multiply the imaginary numbers \( \sqrt{7} i \) and \( \sqrt{6} i \), you start by multiplying the coefficients and the imaginary units separately. First, calculate the coefficients: \[ \sqrt{7} \cdot \sqrt{6} = \sqrt{42} \] Next, multiply the imaginary units: \[ i \cdot i = i^2 = -1 \] Now, combine these results: \[ \sqrt{42} i^2 = \sqrt{42} \cdot (-1) = -\sqrt{42} \] So the fully simplified answer is: \[ -\sqrt{42} \]