Adding Complex Numbers: (9 + 5i) + (11 + 2i)
Complex numbers are expressed in the form a + bi, where 'a' and 'b' are real numbers and 'i' is the imaginary unit (√-1). When adding complex numbers, we simply add the real and imaginary components separately.
Let's break down the addition of (9 + 5i) + (11 + 2i):
Step 1: Identify the real and imaginary parts of each complex number.
- (9 + 5i): Real part = 9, Imaginary part = 5
- (11 + 2i): Real part = 11, Imaginary part = 2
Step 2: Add the real parts together: 9 + 11 = 20
Step 3: Add the imaginary parts together: 5 + 2 = 7
Step 4: Combine the results to form the final complex number: 20 + 7i
Therefore, the sum of (9 + 5i) + (11 + 2i) in standard form is 20 + 7i.