Question

How do you divide `a/(ib)`?

Answer 1

`-a/bi`

Explanation:

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(i^2=(sqrt(-1))^2=-1)color(white)(2/2)|)))`

We require to rationalise the denominator.

This is achieved by multiplying the numerator/denominator by i

`a/(bi)xxi/i=(ai)/(bi^2)=(ai)/(-b)=-a/bi`