Final answer:
To simplify the expression ((8 √10)(8 √15)), multiply the numbers outside the square roots and the numbers inside the square roots separately, and then combine the results. The simplified expression is 320 √6.
Step-by-step explanation:
To simplify the expression ((8 √10)(8 √15)), we can first multiply the numbers outside the square roots, which gives us 8 * 8 = 64. Next, we can multiply the numbers inside the square roots, which gives us √10 * √15 = √150. Simplifying √150, we can divide the exponent by 2, giving us √(5 * 5 * 6) = 5 * √6. Combining the results, the simplified expression is 64 * 5 * √6, which can be written as 320 √6. Therefore, the answer is (A) 320 √6.