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Evaluate the expression √−8√−200 and write the result in the form a + bi. The real number a equals The real...

Evaluate the expression √−8√−200 and write the result in the form a + bi.
The real number a equals
The real number b equals

Answer

To evaluate the expression √−8√−200, we first express each square root in terms of imaginary numbers:

√−8 = √8 * i = 2√2 * i
√−200 = √200 * i = 10√2 * i

Now, multiply the two results:

(2√2 * i)(10√2 * i) = 20 * 2 * i² = 40 * (-1) = -40

Thus, the expression evaluates to -40, which can be written in the form a + bi as:

The real number a equals -40
The real number b equals 0

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