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(8√100) (7√-49)
(8 \sqrt{100)(7 \sqrt{ - 49)

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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).

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