Complex Numbers Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Add (4+3i)+(2−5i)(4 + 3i) + (2 - 5i).

Solution

  1. 1
    Add real parts: 4+2=64 + 2 = 6.
  2. 2
    Add imaginary parts: 3i+(−5i)=−2i3i + (-5i) = -2i.

Answer

6−2i6 - 2i
Complex addition works component-wise: add real parts together and imaginary parts together. Treat ii like a variable — like combining like terms in algebra.

About Complex Numbers

Numbers of the form a+bia + bi where a,ba, b are real and i=−1i = \sqrt{-1}; they extend the real numbers to solve x2=−1x^2 = -1.

Learn more about Complex Numbers →

More Complex Numbers Examples

Example 1 easy

Simplify [formula], [formula], and [formula].

Example 2 medium

Multiply [formula] and write the result in standard form [formula].

Example 4 medium

Simplify [formula].

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