How do you divide 35i?

Question

Jimmy Macias · Accepted Answer

Keep in mind that i=−1 which means that i2=−1 and therefore i4=1. So we can rewrite the question as:  3i45i=3i35  i3=−−1=−i and so:  3i45i=3i35=−35i

Joseph Lewis · Accepted Answer

To divide this fraction we require the denominator to be a real number.
This is achieved in this case by multiplying the numerator/denominator by i.

\Rightarrow \frac{3}{5 i} = \frac{3}{5 i} \times \frac{i}{i} = \frac{3 i}{5 i^{2}}

Reminder

i^{2} = {(\sqrt{- 1})}^{2} = - 1

\Rightarrow \frac{3 i}{5 i^{2}} = \frac{3 i}{- 5} = - \frac{3}{5} i

alenahelenash · Accepted Answer

3i45i=3i35 i3=−−1=−i 3i45i=3i35=−35i

Answered question