# How do you write the following expression in standard form i/(3-2i)+(2i)/(3+8i)?

Aug 19, 2016

#### Answer:

I found: $\frac{62}{949} + \frac{297}{949} i$

#### Explanation:

Here we need to divide BUT the division is a little bit more difficult because we have complex numbers in the two denominators. To solve this we try to change the denominators into REAL numbers (eliminating the $i$). This is possible by multiplying AND dividing (red circle) by the complex conjugate of the denominator of each fraction: