Imaginary numbers

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

Correct answer:

Sum =  0

Step-by-step explanation:

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} Σ=3i+(−3i)=0

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Showing 1 comment:
Dr Math
add up a number and its conjugate





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