# How do you simplify #1/(2+3i)# and write in a+bi form?

##### 2 Answers

#### Answer:

#### Explanation:

Multiply by the complex conjugate.

Recall that

#### Answer:

#### Explanation:

Similarly,

We may now divide them by using the standard rule for division of complex numbers in polar form :

This answer may now be converted back to rectangular form using standard trig relationships to get

(Note : We could have maintained complex rectangular form and multiply top and bottom by the complex conjugate of the denominator