What Is the Process for Adding Imaginary Numbers?


Quick Answer

To add two imaginary numbers together, add their real number components. To add (2i + 4i), combine the real components: two and four, which gives the answer 6i. To add (7i + 3i), calculate the sum of the real components, which is ten, to give the answer, 10i.

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Full Answer

Real numbers are rational or irrational numbers. An imaginary number is a number that can only be written as a real number multiplied by the imaginary unit, "i," which represents the square root of -1. For instance, in the imaginary number 9i, nine, a real number, is placed in front of the imaginary unit, "i."

Complex numbers are numbers that can be written as the sum or difference of an imaginary number and a real number. In the complex number (4 + 8i), four is the real number and 8i is the imaginary number. To add two complex numbers together, add the like terms. For example, to add (7 + 5i) and (2 + 2i), add the real components first to get nine. Then, calculate the sum of the imaginary numbers, which is 7i. The answer is then (9 + 7i).

The answer to (3 + 4i) and (6 - 2i) is (9 + 2i). This is because the sum of three and six is nine and the sum of 4i and -2i is 2i.

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