# How do I rationalize the denominator of a complex quotient?

Oct 25, 2014

You can do it by multiplying the numerator and the denominator by the complex conjugate of the denominator.

$\frac{1}{a + b i} = \frac{1}{a + b i} \cdot \frac{a - b i}{a - b i} = \frac{a - b i}{{a}^{2} + {b}^{2}}$

I hope that this was helpful.