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anonymous
 one year ago
Simplify:
3+2i over 4i
anonymous
 one year ago
Simplify: 3+2i over 4i

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Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2multiply top and bottom of the fraction by conjugate of the denominator

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2what is the `conjugate` of 4i ? do you know ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Welcome to openstudy!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I don't know the conjugate ;~;

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2here is an example the conjugate of a+bi is `abi` so change the sign of the imaginary term

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I don't get how to do that either...

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2conjugate of a+bi is `abi` right so what's the difference btw `a+bi` and `abi` ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2yes right so you should change the sign of imaginary number `i` = imaginary

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2so what's the conjugate of 4i ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2yes right! now multiply \[\huge\rm \frac{ 3+2i }{ 4i} \times \frac{ 4+i }{ 4+i }\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2show ur steps please how did you get that ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I don't know how I did that. I have no idea how i did that.

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2then why did you post that ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I was hoping it was right..

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2familiar with the foil method ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2i know that's one of ur option.

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2alright good apply foil method \[\huge\rm \frac{ (3+2i)(4+i) }{ (4i)(4+i) }\] (3+2i)(4+i) = ??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think it's 12+14i? That's what I got..

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2okay plz show ur work so i can look over to find out mistakes :=)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0(3+2i)(4+i) 12+3i+8i+3i 12+6i+8i 12+14i

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2nice thanks so 2i times i = ??

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2yes right i times i= i^2 and i^2 =1 so 2(1) = 1 now fix it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So I was mostly right. Now what.

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2now combine like terms 12+3i+8i2 = ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2looks right! now simplify the denominator (4i)(4+i)= ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2right that's denominator so what would be the final answer ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 10+11i}{ 17}\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2looks good ! great job !
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