Use the properties of complex numbers to simplify (√-49 + 5i) + (8 - √-4).
13 + 9i
8 + 14i
9 + 5i + √-53
8 + 10i
To simplify the expression (√-49 + 5i) + (8 - √-4), we can apply the properties of complex numbers.
First, let's simplify the expressions inside the parentheses:
√-49 = √(49*(-1)) = 7i
√-4 = √(4*(-1)) = 2i
Now we can rewrite the expression as:
(7i + 5i) + (8 - 2i)
Next, let's combine the like terms:
(7i + 5i) = 12i
So the expression simplifies to:
12i + (8 - 2i)
Finally, we can combine the like terms again:
12i - 2i = 10i
Therefore, the simplified expression is 10i + 8, which can be written as 8 + 10i. Thus, the correct answer is option D.