anonymous
  • anonymous
How would i rationalize 6/ 3+i
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
multiply by the conjugate
anonymous
  • anonymous
multiply by 1 using the conjugate*
anonymous
  • anonymous
* top n bottom by 3-i

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
So 9i?
anonymous
  • anonymous
6(3-i) / (3+i)(3-i)
anonymous
  • anonymous
Is that all that I have to do? I'm not really sure how to do these sorts of problems
anonymous
  • anonymous
You need to multiply out the brackets and simplify if possible
anonymous
  • anonymous
Just like normal except you have i's to deal with...
anonymous
  • anonymous
6(3-i)? Wouldn't the bottom cancel itself out?
anonymous
  • anonymous
It is a kind of trick to get rid of the i on the bottom.....
anonymous
  • anonymous
Similar to how you get rid of a rdical, same sort of idea...
anonymous
  • anonymous
So confused
anonymous
  • anonymous
Multiply it out and you will see...
anonymous
  • anonymous
9-i/9
anonymous
  • anonymous
which you could divide 9 by 9 to get one, so -i?
anonymous
  • anonymous
6(3-i) is 18-6i Where do you get 9-i from?
anonymous
  • anonymous
Oh wow opps. haha I added.
anonymous
  • anonymous
Ok, now what do you get for the bottom?
anonymous
  • anonymous
9?
anonymous
  • anonymous
You have (3+i)(3-i) Tell me how it comes to 9
anonymous
  • anonymous
You multiply and the +i and -i cancel out? i'm really sorry, this is new to me haha
anonymous
  • anonymous
(3+i)(3-i) is 3*3 + 3*i -3*i - i^2 (using FOIL?)
anonymous
  • anonymous
So the 3i's cancel out and leave 9-i^2 So what is i^2 ?
anonymous
  • anonymous
-1
anonymous
  • anonymous
Right, so what is the bottom ( hint-it is not 9)
anonymous
  • anonymous
8?
anonymous
  • anonymous
9-(-1)
anonymous
  • anonymous
10
anonymous
  • anonymous
Ok so finally you have 18-6i/10 which you can divide by 2 to get 9-3i/5 as a final answer.
anonymous
  • anonymous
So, procedure for these is *by conjugate top and bottom then simplify
anonymous
  • anonymous
thank you so much!!!
anonymous
  • anonymous
ur welcome

Looking for something else?

Not the answer you are looking for? Search for more explanations.