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

1. Calcmathlete

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. IloveCharlie
3. Calcmathlete

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

4. IloveCharlie

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

5. IloveCharlie

@Calcmathlete

6. Calcmathlete

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. IloveCharlie

O.k, thanks so much :)