The problem in the image asks to simplify the expression involving square roots:

$(12\sqrt{2}) \times (-8\sqrt{7})$

Steps to simplify:

1. Multiply the numerical coefficients: $12 \times (-8) = -96$

2. Multiply the square roots: $\sqrt{2} \times \sqrt{7} = \sqrt{2 \times 7} = \sqrt{14}$

3. Combine the results: $-96\sqrt{14}$

Thus, the simplified form of the expression is: $-96\sqrt{14}$

Do you have any further questions or need more details?

Here are some related questions:

1. How do you multiply expressions with square roots?
2. How can we simplify other products involving square roots, such as $\sqrt{a} \times \sqrt{b}$?
3. What happens when we multiply or divide square roots of the same number?
4. How can we rationalize the denominator when dealing with square roots?
5. What are some common properties of square roots used in simplifying expressions?

Tip: Always handle coefficients and the square root parts separately when simplifying expressions with square roots.