We can think of complex numbers as pairs of real numbers with the form:[br] [img]https://latex.codecogs.com/gif.latex?%5Cmathbb%7BC%7D%3D%7B%7D%7B%28x%2Cy%29%3Ax%2Cy%5Cepsilon%20%5Cmathbb%7BR%7D%7D[/img][br]Where addition is defined as:[br] for [img]https://latex.codecogs.com/gif.latex?x%2Cy%2Ca%2Cb%5Cepsilon%20%5Cmathbb%7BR%7D[/img][br] [img]https://latex.codecogs.com/gif.latex?%28x%2Cy%29+%28a%2Cb%29%3D%28x+a%2Cy+b%29[/img][br]And multiplication defined as:[br] [img]https://latex.codecogs.com/gif.latex?%28x%2Cy%29%28a%2Cb%29%3D%28xa-yb%2Cxb+ya%29[/img][br][br]