It involves multiplying the numerator and denominator by the complex conjugate of the denominator to eliminate the imaginary part. For example, to divide `\frac{a+bi}{c+di}`, multiply both by the conjugate \( c-di \), resulting in `\frac{(a+bi)(c-di)}{(c+di)(c-di)}`, which simplifies to `\frac{(ac+bd) + (bc-ad)i}{c^2+d^2}`. Separating the real and imaginary components, get `\frac{ac+bd}{c^2+d^2} + \frac{bc-ad}{c^2+d^2}i`. To practice this process, using a divide complex numbers worksheet and engaging in dividing complex numbers practice can help reinforce the steps and improve proficiency.

Algebra 2

Real And Complex Numbers