Division of Complex Numbers

The things missed in Mathematics!

1.       Here is the definition first:

2.       (a + ib)/(c + id) = ((ac  + bd)/(c² + d²)) + i((bc - ad)/( c² + d²))

3.       All the rules are the same as told in the addition and multiplication of the complex numbers.

4.       So, to let you remember the division formula, once again comes the Inverted Multiplier Man!

5.       Inverting the Multiplier Man has changed combining sign between the terms, they have got reversed (ac + bd) instead of (ac – bd) and (bc – ad) instead of (bc + ad).

6.       Also, inverting Multiplier Man also consumed some energy and hence the real and imaginary part got divided by the absolute value of the divisor (c + id).

·         To derive the above division formula, just multiply the numerator and denominator with the conjugate of the divisor (c + id), that is to say multiply by (c – id)