Question

How do you simplify `2/(4-9i)`?

Answer 1

`(8+18i)/(97)`

Explanation:

When you have a complex number in the numerator you have to multiply by the conjugate:

`2/(4-9i)*(4+9i)/(4+9i)`

`(8+18i)/(4^2+9^2)`

`(8+18i)/(97)`

97 is a prime number, so we cannot simplify the fraction.