# How do you divide a/(ib)?

Jan 22, 2017

$- \frac{a}{b} i$

#### Explanation:

$\textcolor{\mathmr{and} a n \ge}{\text{Reminder }} \textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{{i}^{2} = {\left(\sqrt{- 1}\right)}^{2} = - 1} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

We require to rationalise the denominator.

This is achieved by multiplying the numerator/denominator by i

$\frac{a}{b i} \times \frac{i}{i} = \frac{a i}{b {i}^{2}} = \frac{a i}{- b} = - \frac{a}{b} i$