Answer:
4 - i
Step-by-step explanation:
Intuitively, the answer will be 4 - i, as the other numbers are too big to have a square as small as 17i. Also, we know that i will not be in the end result, which means that we should have a negative in the result as well.
To test this, we can simply treat 4 and -i as the sides of a right triangle and find the hypotenuse:
[tex]d = \sqrt{4^2 + (-i)^2} \\d = \sqrt{16 + 1}\\d = \sqrt{17}[/tex]
So indeed the answer is 4 - i
