# How do you divide 20 / (3+i)?

Feb 7, 2016

$7.5 - 2.5 i \to \frac{14}{2} - \frac{5}{2} i$

#### Explanation:

Given: $\text{ } \frac{20}{3 + i}$

Multiply by 1 but in the form of: $\frac{3 - i}{3 - i}$

$\frac{20}{3 + i} \times \frac{3 - i}{3 - i}$

$\frac{20 \left(3 - i\right)}{9 - {i}^{2}}$

$\frac{20 \left(3 - i\right)}{8}$

$7.5 - 2.5 i \to \frac{14}{2} - \frac{5}{2} i$