Simplify (8 - 6i)/2

Step by step

The question

Question: work out (8 − 6i)/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.

8/2, and 6i/2.

8/2 is 4.

6/2 is 3.

So the answer is 4 − 3i.

2 Check

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

We get 8 − 6i again.

It works!

Let's look back.

First: split the fraction.

Last: check.