anonymous
  • anonymous
Operations on Complex Numbers
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
simplify the expression
1 Attachment
anonymous
  • anonymous
Ok so start by rewrite \[\sqrt{-10}=i \sqrt{10}\]
anonymous
  • anonymous
ok, im following

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anonymous
  • anonymous
Do you get that idea?
anonymous
  • anonymous
yes I understand that i believe
anonymous
  • anonymous
Do the same with sqrt(-5)
anonymous
  • anonymous
Then distribute
anonymous
  • anonymous
ok so its i\[\sqrt{-5}\]
anonymous
  • anonymous
hang on
anonymous
  • anonymous
|dw:1355782789409:dw|
anonymous
  • anonymous
Not really, the reason for why you take out the i is that you want the minus under the squareroot to disappear
anonymous
  • anonymous
\[i \sqrt{5}\]
anonymous
  • anonymous
Do you know the definition of i?
anonymous
  • anonymous
\[i=\sqrt{-1}\] \[i ^{2}=-1\]
anonymous
  • anonymous
well i know that i means the y on a plane and it is the imaginary part?
anonymous
  • anonymous
That's also, kind of, correct when dealing with imaginary numbers the Y-X plane is called Im-Re
anonymous
  • anonymous
So based on the definition of \[i=\sqrt{-1}\] what's, for example \[\sqrt{-7}\]
anonymous
  • anonymous
?
anonymous
  • anonymous
\[i \sqrt{10}(11+i \sqrt{5})\]=\[11i \sqrt{10}+i ^{2}\sqrt{10}\sqrt{5}= 11i \sqrt{10}-\sqrt{50}\]

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