Simplify (4 + 8i)/4

Step by step

The question

Question: work out (4 + 8i)/4.

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: 4.

So each part on top is divided by it.

4/4, and 8i/4.

4/4 is 1.

8/4 is 2.

So the answer is 1 + 2i.

2 Check

Let's check: times 4 undoes divided by 4.

We get 4 + 8i again.

It works!

Let's look back.

First: split the fraction.

Last: check.