To multiply \((-8 \sqrt{21})\) and \((-7 \sqrt{2})\), we can follow these steps:
- Multiply the coefficients: \(-8 \times -7 = 56\).
- Multiply the radicals: \(\sqrt{21} \times \sqrt{2} = \sqrt{42}\).
Putting it all together, we have:
\[ (-8 \sqrt{21}) \times (-7 \sqrt{2}) = 56 \sqrt{42} \]
Therefore, the exact answer is:
D. \(56 \sqrt{42}\)