Perform indicated operation and leave answer in the form a+bi.
(7+2i)/(4-3i)

Question

Perform indicated operation and leave answer in the form a+bi. 
(7+2i)/(4-3i)

anonymous · Answer

Basically, you have to rationalize the denominator which means to get rid of 'i' in the denominator. THat means that you have to multiply by the conjugate in the denominator.
$$\frac{7 + 2i}{4 - 3i} \implies \frac{7 + 2i}{4 - 3i} \times \frac{4 + 3i}{4 + 3i} \implies~?$$

anonymous · Answer

22/25+29i/25? http://www.wolframalpha.com/input/?i=%28%287%2B2i%29%2F%284-3i%29%29*%28%284%2B3i%29%2F%284%2B3i%29%29

anonymous · Answer

Yes...that is correct if you wanted to use a calculator...

anonymous · Answer

So it that the most simplified? Or could I simplify it down more?

anonymous · Answer

@Calcmathlete

anonymous · Answer

THat is the most simplified...I'm not surte if your teacher wants the decimal one or the fraction one. It's up to you :)

anonymous · Answer

O.k, thanks so much :)