How do you divide #(-5-i)/(-10i)#?
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:
Now, the good thing is that we got rid of
which is in the form