Question

How do you write the following quotient in standard form `-10/(2i)`?

Answer 1

`5i`

Explanation:

We require to express the fraction with a real denominator.

To achieve this make use of the following fact.

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

Multiply the numerator and denominator by i

`(-10)/(2i)xx(i)/(i)=(-10i)/(2i^2)=(-10i)/(-2)=5i`

`rArr-(10)/(2i)=5i=0+5i" in standard form"`