Subjects algebra

Complex Addition E22002

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1. **State the problem:** We need to add two complex numbers: $ (3 + 4i) $ and $ (8 + 2i) $ and write the result in standard form $ a + bi $. 2. **Recall the formula:** To add complex numbers, add their real parts and their imaginary parts separately: $$ (a + bi) + (c + di) = (a + c) + (b + d)i $$ 3. **Apply the formula:** Real parts: $3 + 8 = 11$ Imaginary parts: $4 + 2 = 6$ 4. **Write the result:** $$ 11 + 6i $$ 5. **Conclusion:** The sum of $ (3 + 4i) $ and $ (8 + 2i) $ is $ 11 + 6i $ in standard form.