Adding Complex Numbers: (5  2i) + (13  8i)
This article will walk you through the process of adding two complex numbers: (5  2i) and (13  8i).
Understanding Complex Numbers
Complex numbers are numbers that can be expressed in the form a + bi, where:
 a and b are real numbers
 i is the imaginary unit, defined as the square root of 1 (i² = 1)
Adding Complex Numbers
To add complex numbers, we simply add the real parts and the imaginary parts separately.
StepbyStep Solution

Identify the real and imaginary parts of each complex number:
 (5  2i): Real part = 5, Imaginary part = 2
 (13  8i): Real part = 13, Imaginary part = 8

Add the real parts:
 5 + (13) = 8

Add the imaginary parts:
 2 + (8) = 10

Combine the results to form the final complex number:
 8  10i
Conclusion
Therefore, the sum of (5  2i) and (13  8i) is 8  10i.