# Imaginary numbers

Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related?
What is its sum?

Result

Sum =  0

#### Solution:

Answer is a conjugate pair of imaginary numbers (its real parts is zero).
The two imaginary numbers that add up to a real number would be ni and -ni, because ni + (-ni) = ni - ni = 0; where 'n' is any real number, no zero. Thus, the sum of this two imaginary numbers become a real number 0.

$ie... \{ 3i; -3i \} \ \\ \Sigma = 3i + (-3i ) = 0$

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Dr Math
add up a number and its conjugate

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