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#1 2007-02-09 19:05:33

MathsIsFun
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Imaginary Confusion

You may be familiar with this property of square roots:


For example:


But with imaginary numbers:


Why is this ? ?


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman
 

#2 2007-02-10 15:41:55

ganesh
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Re: Imaginary Confusion

MathsIsFun,



The square of (-1) is 1. The square root of 1 is 1. Since the square root of (-1) is represented by i, and it is known that i=-1, it may be intially baffling that -1=1, but a square root always has two values, positive and negative. In this case, since -1 is also one of the roots, the equation is perfectly right! dizzy


Character is who you are when no one is looking.
 

#3 2007-02-10 18:04:26

MathsIsFun
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Re: Imaginary Confusion

Awww... I was hoping to cause confusion.


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman
 

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