SOLUTION: Select any imaginary number (of the form "a + bi," where a and b are non-zero real numbers), and another number such that the sum, difference, product, or quotient of the two numbe

Question 190594This question is from textbook
: Select any imaginary number (of the form "a + bi," where a and b are non-zero real numbers), and another number such that the sum, difference, product, or quotient of the two numbers is a real number.
Am very lost here. Thanks! This question is from textbook

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
It turns out that ANY number of the form added to it's complex conjugate of the form is

So adding ANY complex number to it's complex conjugate results in a real number.

Example:

Let's pick the number (where a = 2 and b = 3) and add it to it's complex conjugate to get

In short

Note: it turns out that multiplying a complex number by it's complex conjugate also results in a real number (division is a different story however).

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