Mathematics
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OpenStudy (anonymous):
Please HELP and explain! :(
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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))
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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.
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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)
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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)
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OpenStudy (anonymous):
Thank you so much!