Simplify (6 + 4i)/2

Step by step

The question

Question: work out (6 + 4i)/2.

Remember: i is the square root of minus 1.

So i squared is minus 1.

1 Split the fraction

The bottom is a plain number: 2.

So each part on top is divided by it.

6/2, and 4i/2.

6/2 is 3.

4/2 is 2.

So the answer is 3 + 2i.

2 Check

Let's check: times 2 undoes divided by 2.

We get 6 + 4i again.

It works!

Let's look back.

First: split the fraction.

Last: check.