# How do you simplify #(3+i)/(1+4i)#?

##### 1 Answer

Dec 3, 2016

There are several ways to do it. I like to multiply numerator and denominator by the complex conjugate of the denominator.

#### Explanation:

Multiply numerator and denominator by the complex conjugate of the denominator:

Use the pattern,

Use

Use the F.O.I.L. method to multiply the numerator.

Use

Combine like terms:

Distribute the 17: