What is the value of (5 + 3i) + ( 2 - 8i)?
A. 2i
B. 18i
c. 7 - 5i
D. 7 + 11i
The value of (5 + 3i) + ( 2 - 8i) is (5 + 2) + (3i - 8i), which simplifies to 7 - 5i. Therefore, the correct answer is C. 7 - 5i.
To find the value of (5 + 3i) + (2 - 8i), we can add the real parts and the imaginary parts separately.
Adding the real parts:
5 + 2 = 7
Adding the imaginary parts:
3i + (-8i) = -5i
Therefore, the value of (5 + 3i) + (2 - 8i) is 7 - 5i, which corresponds to option C.
To find the value of (5 + 3i) + (2 - 8i), you need to add the real parts (the numbers outside the imaginary unit) separately and the imaginary parts (the numbers multiplied by the imaginary unit, i) separately.
So, adding the real parts: 5 + 2 = 7.
Adding the imaginary parts: 3i + (-8i) = -5i.
Combining the results, the sum is 7 - 5i.
Therefore, the correct answer is C. 7 - 5i.