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

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1. Calcmathlete Group Title

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 Group Title
3. Calcmathlete Group Title

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

4. IloveCharlie Group Title

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

5. IloveCharlie Group Title

@Calcmathlete

6. Calcmathlete Group Title

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 Group Title

O.k, thanks so much :)