Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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]

Sagot :

GinnyAnswer
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]
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.