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Operations on Complex Numbers

Mathematics
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simplify the expression
1 Attachment
Ok so start by rewrite \[\sqrt{-10}=i \sqrt{10}\]
ok, im following

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

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