Multiplicitive inverse of a Complex Number

The multiplicitive inverse of any complex number a + bi is 1/(a + bi) . However, since i is a radical and in the denominator of a fraction. The same rules apply : rationalize the denominator. To rationalize the denominator just multiply by the complex conjugate of the original complex number( which is now in the denominator). Remember that multiplying two complex conjugates produces a real product, hence a rationalized denominator!