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Flexibility 2

 
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May3-12, 11:56 AM   #1
 

Flexibility 2


1 = √(1)
= √(-1)(-1)
= (√-1)(√-1)
= i.i
= i[itex]^{2}[/itex]
= -1
Is this a correct equation??
anythings wrong with this?
i think theoretically it is correct but it seems like
√(1) = √(-1)(-1)
√(1) = √(1)(1) also!!
so how to explain this??
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May3-12, 12:10 PM   #2
 
Quote by Yh Hoo View Post
1 = √(1)
= √(-1)(-1)
= (√-1)(√-1)
= i.i
= i[itex]^{2}[/itex]
= -1
Is this a correct equation??
anythings wrong with this?
i think theoretically it is correct but it seems like
√(1) = √(-1)(-1)
√(1) = √(1)(1) also!!
so how to explain this??


Squaring is a double branched complex variable function, and thus "usual" properties in real numbers can fail miserably.

In this case the problem appears in the third equality: it isn't true without imposing certain restrictive conditions.

DonAntonio
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