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Mathematics 18 Online
OpenStudy (anonymous):

http://i44.tinypic.com/wtefte.png number 7 and 8 guys... a little help please? especially number 7 >.<

OpenStudy (saifoo.khan):

rationalize the 8th one.

OpenStudy (anonymous):

okaay... so the answer is (10+8i+(15i-12)sqrt3)/41 ??

OpenStudy (saifoo.khan):

Btw, which OS is this?

OpenStudy (anonymous):

OS?

OpenStudy (saifoo.khan):

Operating system.

OpenStudy (anonymous):

If ur talking about the OS im using, its Linux :) why? specifically Lubuntu

OpenStudy (saifoo.khan):

\[\frac{2+\sqrt{-27}}{5-\sqrt{-16}}\to \frac{2+3i \sqrt3}{2+3i \sqrt3} \times \frac{2-3i \sqrt{3}}{2-3i \sqrt{3}}\]

OpenStudy (saifoo.khan):

Ah, cool. I never tried Lubuntu. Is it good?

OpenStudy (anonymous):

Good enough. but not for games tho >.<

OpenStudy (anonymous):

wait, how did it become like that :/ ?

OpenStudy (anonymous):

where did 5 - sqrt(-16) go?

OpenStudy (saifoo.khan):

First, i simplified the radical. Then i rationalized it.

OpenStudy (saifoo.khan):

Windows is best for games. Ubunutu is nice too. I use Puppy Linux too. it's light-weight and fast.

OpenStudy (anonymous):

\[2 + \sqrt{-27}\div5-\sqrt{-16} = 2 + 3i \sqrt{3} \div 5 - 4i\]

OpenStudy (anonymous):

I still prefer Kubuntu tho, but Lubuntu takes lesser space >.< I have no complaints tho, as long as there's MS Word and stuff, good enough for me ^^

OpenStudy (saifoo.khan):

Nice. Yes, you may do it that way too. Now rationalize.

OpenStudy (anonymous):

\[\frac{ 2 + 3i \sqrt{3} }{5 - 4i } \rightarrow \frac{ 2 + 3i \sqrt{3} }{5 - 4i } x \frac{ 5 - 4i }{ 5-4i }\]

OpenStudy (anonymous):

oh wait that shud be 5 +4i xD

OpenStudy (saifoo.khan):

Yep

OpenStudy (anonymous):

\[\frac{ 2 + 3i \sqrt{3} }{ 5 - 4i } \rightarrow \frac{ 2 + 3i \sqrt{3} }{ 5 - 4i } x \frac{ 5 + 4i }{ 5 + 4i }\]

OpenStudy (anonymous):

so if i times it, it will be more or less....

OpenStudy (saifoo.khan):

Yes yes. i gtg.

OpenStudy (anonymous):

ok, thanks for ur help :)

OpenStudy (anonymous):

okay, can someone help me in #7 >.<

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