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01-28-2008

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Re: Arithmatic expression vs. set description connotation of the square root

Quote:

Originally Posted by CraigD

$sqrt{x}$ can be considered simple equivalent to $x^{frac12}$ , $e^{frac12 ln x}$ , or various infinite series expressions, in which case its sign is positive.

$(ab)^{\frac12}=(a)^{\frac12}(b)^{\frac12}=(-a\cdot-b)^{\frac12}=(-a)^{\frac12}(-b)^{\frac12}$

A square root of $\alpha$ is a root of the equation $z^2=\alpha$ .

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