Since the numbers are complex, let's re-write the question as:
i*sqrt(4) * i*sqrt(9)
i^2, by the good graces of algebra, is equal to -1, so your answer simplifies to:
= -1 * sqrt(4) * sqrt(9)
= -1 * 2 * 3
= -6
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it is impossible to get the square root of a negative, since the definition of a square root is something times itself. example: the square root of 16 is 4 because 4 x 4 = 16. and a negative times a negative is a positive, so the square root of a negative is impossible. however, you can do the square root of 121 (which is 11) and make the 11 a negative. 11 x 11 = 121 and -11 x -11 = 121 but you could make 11 negative after the fact, if that is what you wanted to do.
The square root of 18 is: ± 4.242641
square root 2 times square root 3 times square root 8
The square root of negative 40 is: 6.324555 i
The square root of 15 times the square root of 5 can be simplified as the square root of (15 * 5), which equals the square root of 75. The square root of 75 can be further simplified as 5 times the square root of 3. Therefore, the square root of 15 times the square root of 5 is equivalent to 5 times the square root of 3.