Math Problem Statement
Which expression is equivalent to (7 + 4i) + (8 + i)?
Solution
Let's solve the expression given in the image:
We are asked which expression is equivalent to .
To simplify this:
- Combine the real parts: .
- Combine the imaginary parts: .
Thus, the expression simplifies to .
So, the correct answer is:
15 + 5i
Let me know if you need more details or have any other questions!
Here are some related questions:
- How do you add complex numbers?
- What is the difference between real and imaginary numbers?
- How do you subtract complex numbers?
- What is the conjugate of a complex number?
- What is the modulus of a complex number?
Tip: When adding or subtracting complex numbers, always group real parts and imaginary parts separately!
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Addition of Complex Numbers
Formulas
(a + bi) + (c + di) = (a + c) + (b + d)i
Theorems
Addition of Complex Numbers
Suitable Grade Level
Grades 7-9