Question

Hello everyone, I have a question. I am supposed to put this into standard form, (2+i)/(3i). And to do so I have to multiply by the conjugate, how do i find the conjugate?

Answer 1

Multiply by (2-i)/(2-i)

Answer 2

Both the top and the bottom?

Answer 3

Don't overthink it. Just multiply it.

Answer 4

\[\frac{2+i}{3i}=\frac{2}{3i}+\frac{i}{3i}=\frac{2}{3i}*\frac{i}{i}+\frac{1}{3}=\frac{2i}{3i^2}+\frac{1}{3}\]
\[\frac{2i}{3(-1)}+\frac{1}{3}\]

Answer 5

\[=\frac{-2}{3}i+\frac{1}{3}\]

Answer 6

Thank you. I made a mistake in my computation and you helped me catch it. Thanks :)

Answer 7

np