# How do you simplify #(2i) / (1 - i)#?

##### 2 Answers

Mar 13, 2016

I found:

#### Explanation:

We can multiply and divide by the complex conjugate of the denominator, i.e.,

remembering that:

Finally:

Mar 13, 2016

Multiply by the conjugate of the denominator to find that

#### Explanation:

Given a complex number *complex conjugate* of that number. One useful property is that the product of a complex number and its conjugate is a real number. We will use that to remove the complex number from the denominator by multiplying the numerator and denominator by the denominator's conjugate.