(5-2i)+(-7+8i)

Jasonbradley

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Jun 16, 2024

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Adding Complex Numbers: (5 - 2i) + (-7 + 8i)

In mathematics, complex numbers are numbers that can be expressed in the form a + bi, where 'a' and 'b' are real numbers and 'i' is the imaginary unit, defined as the square root of -1. To add complex numbers, we simply combine the real and imaginary components separately.

Let's break down the addition of (5 - 2i) + (-7 + 8i):

1. Identify the Real and Imaginary Components:

• (5 - 2i): The real component is 5 and the imaginary component is -2i.
• (-7 + 8i): The real component is -7 and the imaginary component is 8i.

2. Combine Real Components:

• 5 + (-7) = -2

3. Combine Imaginary Components:

• -2i + 8i = 6i

4. Express the Result:

• Combining the results from steps 2 and 3, we get -2 + 6i.

Therefore, (5 - 2i) + (-7 + 8i) = -2 + 6i