Final answer:
To simplify the expression (8√100) (7√-49), evaluate the square roots separately and multiply the results. The square root of 100 is 10, so (8√100) = 8×10 = 80. The square root of -49 is not a real number, so (7√-49) cannot be simplified further.
Step-by-step explanation:
(8√100) (7√-49)
To simplify this expression, we can evaluate the square roots separately and multiply the results.
The square root of 100 is 10, so (8√100) = 8×10 = 80.
The square root of -49 is not a real number, because the square root of a negative number is undefined in the real number system.
Therefore, the expression (7√-49) cannot be simplified further.
So, the final result is 80 × (7√-49) = 80 × (7 times the square root of -49).