Find the sum of the complex numbers:

[tex]\[ (3 + 3i) + (8 + 7i) \][/tex]

A. [tex]\[ 5 + 4i \][/tex]

B. [tex]\[ 11 + 10i \][/tex]

C. [tex]\[ 11 + 4i \][/tex]

D. [tex]\[ 5 + 10i \][/tex]



Answer :

Sure, let's find the sum of the given complex numbers step-by-step.

We start with the two complex numbers provided:
[tex]\[ (3 + 3i) \quad \text{and} \quad (8 + 7i) \][/tex]

### Step 1: Add the Real Parts
First, let's add the real parts of the complex numbers:
[tex]\[ 3 + 8 = 11 \][/tex]

### Step 2: Add the Imaginary Parts
Next, let's add the imaginary parts of the complex numbers:
[tex]\[ 3i + 7i = 10i \][/tex]

### Step 3: Combine the Results
Now, we combine the results of the real and imaginary parts:
[tex]\[ 11 + 10i \][/tex]

So, the sum of the complex numbers [tex]\((3 + 3i)\)[/tex] and [tex]\((8 + 7i)\)[/tex] is:
[tex]\[ 11 + 10i \][/tex]

### Conclusion
The correct option is:
[tex]\[ \boxed{B. \ 11 + 10i} \][/tex]