Question

Which expressions are equivalent to the given expression?
Please help :(

Answer 1

Answer: -51 - 6*i

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