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

1. anonymous

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. $\frac{7 + 2i}{4 - 3i} \implies \frac{7 + 2i}{4 - 3i} \times \frac{4 + 3i}{4 + 3i} \implies~?$

2. anonymous
3. anonymous

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

4. anonymous

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

5. anonymous

@Calcmathlete

6. anonymous

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 :)

7. anonymous

O.k, thanks so much :)