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Is the following computation correct? If...

Is the following computation correct? If not give the correct computation: `[sqrt((-2))dotsqrt((-3))]=sqrt((-2)dot(-3))=sqrt(6)`

Text Solution

Verified by Experts

The correct Answer is:
Not correct
The said computation is not correct, because -2 and -3 both are negative and `sqrt(ab) = sqrt(a) sqrt(b)` is ture when at least one of a and b is positive or zero. The correct computation is
`(sqrt(-2))(sqrt(-3))= (isqrt(2)) (isqrt(3))=i^(2) sqrt(6) = -sqrt(6)`
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