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

1 Answer
Aug 16, 2016

Answer:

#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"#