Answer: -51 - 6*i
Step-by-step explanation:
Remember that if N is a positive number, then:
√(-N) = √N*i
Now we have the equation:
(-√9 + √(-4)) - (2*√576 + √-64)
We can use the first relation and rewrite this as:
(-√9 + √(4)*i) - (2*√576 + √64*i)
Now, all the square roots in the equation are easy ones, like:
√9 = 3
√4 = 2
√64 = 8
√576 = 24
So if we replace these in our equation, we get:
(-3 + 2*i) - (2*24 + 8*i)
-3 + 2*i - 48 - 8*i
Now we group the terms with "i" and the terms without "i"
(-3 - 48) + (2*i - 8*i) = -51 - 6*i
Then the correct option is: -51 - 6*i
