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danielbarriosr1
 one year ago
Please help me simplify
danielbarriosr1
 one year ago
Please help me simplify

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danielbarriosr1
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{ 3i }{ 2+5i }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0god help me they call everything "simplify" what they mean is "write in standard from as \(a+bi\)" tell your math teacher !

danielbarriosr1
 one year ago
Best ResponseYou've already chosen the best response.1Now everything makes sense

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 3i }{ 2+5i}\times \frac{25i}{25i}\] is a start

danielbarriosr1
 one year ago
Best ResponseYou've already chosen the best response.1the conjugate right?... I don't know if thats how you spell it

danielbarriosr1
 one year ago
Best ResponseYou've already chosen the best response.1to eliminate the i in the bottom

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i.e. multiply by the conjugate of the denominator the conjugate of \(a+bi\) is \(abi\) and this works because \[(a+bi)(abi)=a^2+b^2\] a real number

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0on your case you will have \[\frac{(3i)(25i)}{2^2+5^2}\] all the work is now in the numerator

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah that is how you spell it too

danielbarriosr1
 one year ago
Best ResponseYou've already chosen the best response.1yeah that would be \[\frac{ 410i }{ 425i^2 }\]

danielbarriosr1
 one year ago
Best ResponseYou've already chosen the best response.1right? @satellite73

danielbarriosr1
 one year ago
Best ResponseYou've already chosen the best response.1My bad, I mean \[\frac{ 117i }{ 425i^2 }\]

danielbarriosr1
 one year ago
Best ResponseYou've already chosen the best response.1right? @satellite73

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1\[(a+bi)(abi)=a^2+b^2\] so \[(2+5i)(25i)=2^2+5^2=4+25=29\]

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1dont mess around with any \(i\) stuff when you multiply by the conjugate

danielbarriosr1
 one year ago
Best ResponseYou've already chosen the best response.1all right so it would be \[\frac{ 1 }{ 29 }\frac{ 17i }{ 29 }\]

danielbarriosr1
 one year ago
Best ResponseYou've already chosen the best response.1right? @misty1212
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