Expression Help: Simplifying (10 + 5i) / (2 - i)

[Hollysmoke]

Express (10 + 5i) / (2 - i) in the form x + y*i.

Not sure what to do and I was wondering if I could get some help :S

 

[quantumdude]

Yep, you start by multiplying the numerator and denominator by the complex conjugate of the denominator. This is called rationalizing the denominator.

 

[Hollysmoke]

My textbook doesn't have the answer for the question...

 

[quantumdude]

Ooookaaaay, but that doesn't mean you can't do the problem. give it a shot and let's see what you come up with.

 

[Hollysmoke]

I got 3+4i for the answer.

 

[berkeman]

I got 3+4i for the answer.

Correctomundo! Remember that trick that Tom reminded you of -- you'll use it a lot.

 

[Hollysmoke]

Sweeeet! Thanks ^^