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Mathematics 16 Online
OpenStudy (anonymous):

Please HELP and explain! :(

OpenStudy (anonymous):

OpenStudy (anonymous):

RH, we solved a very this type of question earlier, I believe?

OpenStudy (anonymous):

\[\frac{ (1- i \sqrt{3)^{2}} }{ 2-(1-i \sqrt{2)} }\]

OpenStudy (anonymous):

Yes I am sorry I tried to do it alone but the result was so far from the choices :(

OpenStudy (anonymous):

okay, let's consider therms independantly. x^2 first for x=(1-i(sqrt(2))

OpenStudy (anonymous):

\[(1-i \sqrt{2}) ^{2}\]

OpenStudy (anonymous):

Yes. Open up the brackets.

OpenStudy (anonymous):

\[(1-i \sqrt{2}) \times (1+i \sqrt{2})\]

OpenStudy (anonymous):

RH. You're not supposed to change signs in square.

OpenStudy (anonymous):

Just saying.

OpenStudy (anonymous):

\[(1-i \sqrt{2}) x (1-i \sqrt{2})\]

OpenStudy (anonymous):

like this? @NeetziD

OpenStudy (anonymous):

Yes.

OpenStudy (anonymous):

and for the denomintor is it \[2-(1-i \sqrt{2})\]

OpenStudy (anonymous):

1(1-i sqrt(2))-i sqrt(2) (1 -i sqrt (2)) that is:- 1- i sqrt (2) - i sqrt (2) + 2(i)^2 that is 1-2-2 i sqrt (2)

OpenStudy (anonymous):

Sorry but more detail is hard to give.

OpenStudy (anonymous):

If this is okay, we can go ahead with the denominator.

OpenStudy (anonymous):

it is ok. thank you so much!

OpenStudy (anonymous):

You know the denominator already... I entrust you with simplification?

OpenStudy (anonymous):

Is the answer -3-2i (sqrt2)

OpenStudy (anonymous):

Thank you so much!

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