# How do you divide #(-5-i)/(-10i)#?

##### 1 Answer

#### Answer:

I found:

#### Explanation:

Here you have a division between complex numbers that normally wouldn't be immediately possible or at least will not give a complex number in standard form:

To solve the problem we need to get rid of

To do that we **multiply and divide by the complex conjugate of the denominator** .

If you have a complex number, say,

In our case the denominator is:

so the complex conjugate will be:

Let us multiply and divide:

After this (even if it looks more difficult) we do the multiplications:

remember that

Now, the good thing is that we got rid of

which is in the form