Question

I have 1 or two problems I need help on... First off! MEDAL!
Rationalizing the denominator of...

Answer 1

\[\frac{ \sqrt{-16} }{ (1+i)+(6+3i) }\]

BY THE WAY... These are complex and imaginary numbers.... not just normal variables!!

Answer 2

@ams98 is this the question you mentioned?

Answer 3

Yes :)

Answer 4

ok, so its the (1+i) + (6+3i) part that is hard, or the whole thing?

Answer 5

The whole thing! There was no practice about this what so ever in class!!

Answer 6

boy oh boy!
ok, so we treat i the same way we treat an 'x'
so if i rewrote the bottom part of:
(1+i) + (6+3i)
to become
(1+x) + (6+3x)
can you simplify this?

Answer 7

I have multiple choice to check my anwser! LOL But i dont know where to go from here...

Answer 8

close!
(1+x) + (6+3x) is the same as
1+x + 6+3x

Answer 9

try again for me, please ^_^

Answer 10

7+4x omg my bad..

Answer 11

good!
so, what if i make them an i and not an x, can you simplfy this:
(1+i) + (6+3i)

Answer 12

7+4i

Answer 13

bingo!

Answer 14

Do I square the whole thing to get rid of the radical??

Answer 15

so you under stand the denomiator, lets work on the numerator shall we?

Answer 16

sureeee

Answer 17

great
so the square root of 16 is... ?

Answer 18

4

Answer 19

You know were rationalizing not simplifying right?! :P just want to make sure !!

Answer 20

@ams98 wait whats the difference between simplifying and rationalizein?g

Answer 21

I posted because I didnt know D;

Answer 22

I think they are the same thing...

Answer 23

i'm asking a friend right now...

Answer 24

@ams98 they mean the same thing basically. you still around?

Answer 25

I was timed so I had to just guess! But thanks anyway!!!!

Answer 26

timed.. i sure hope you weren't taking an exam!