Question

Write the expression in the form a+bi.
3/2+4i

Answer 1

I assume that's
\[ \frac{3}{2+4i} \]
right? Gotta use parentheses.

Answer 2

yes sorry.

Answer 3

multiply numerator and denumerator by 2-4i

Answer 4

"complex conjugate"

Answer 5

this is the way to convert it to the requested form ..
what will you get if you do so ?

Answer 6

(3/10)-(3/5)i

Answer 7

You want to multiply the equation by 1 by using the conjugate which is

\[2-4i\]

so multiply by \[\frac{2-4i}{2-4i}\]


what this does is gets rid of the i ont he bottom and gets you c-di^2 which will end up being a number on the bottom since

\[i^2=-1\]

for example if you multiply what your denominator should loo like now you get

\[\frac{3(2-4i)}{(2+4i)(2-4i)}=\frac{3(2-4i)}{4-8i+8i-16i^2}=\frac{3(2-4i)}{4-16(-1)}=\frac{3(2-4i)}{4+16}\]

Answer 8

correct @nsh4267

Answer 9

(3/10)-(3/5)i -> its good :)