by RonPurewal Wed Nov 05, 2008 3:52 am
um, yes, i'm a bit confused here as well.
tell you what: i'll do two things. i'll answer your question, and i'll remove the cited problem.
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answer to your query:
* √4 is positive 2. the symbol "√" represents a function, so it can have only one value; by convention, that value is chosen to be the positive value.
* if you're given the equation x^2 = 4, then there are two solutions to that equation: 2 and -2.
the difference is that, this time, you're not merely evaluating an expression. rather, you're actually finding the solutions to an equation; often, a single equation has multiple solutions.
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i have edited your original post, erasing the problem that was originally posted. i did this for two reasons, the second more important than the first:
* it was completely irrelevant to the √4 issue. and i mean completely irrelevant to the extent that even a professional mathematician on drugs couldn't think of a way to connect the two.
* a source was not cited. normally our protocol in such cases is to delete the entire post, but i left the √4 question.