Talk:Nth root

From Wikipedia, the free encyclopedia

Contents

[edit] The Nth.Root and the Root-Solving History

It is certainly disturbing to realize that the extremely simple high-order arithmetical methods for approximating the Nth. root shown at: Arithmetical High-Order root-solving methods do not appear in any book on numbers since ancient times up to now, of course, including the wikipedia whose root-solving experts also seem unaware of these trivial high-order methods. Believe it or not.

[edit] .

"Quantities left uncomputed under a radical sign are also called surds." This is not correct. Surds are strictly irrationals.

This article talks about "surds" before defining what they are. - dcljr 06:03, 6 Aug 2004 (UTC)

This article also perports to define the term radical, and at no point does it directly do so.

The section, 'Finding all the roots', tells us how to find all the roots in terms of the principle root and n, but the only definition for the princinple root used in the article is the one which is always a real number and doesn't always exist. Someone needs to put in a bit about the extension to complex numbers. There is actual more on the cube root page.

Done! —Mets501talk 01:04, 27 May 2006 (UTC)

Cool, thanks.

[edit] Merge

I think this article and N-th root are the same thing, just under different names!



++++++++++++++++gavan


shouldn't the equation for finding the nth root be on this page?? 'twould be useful to say the least (not to mention relevant) x(1 / n) = e((lnx) / n)


Edit: Simon Fendall This relates to the merge somewhat. When visiting the N-th Root this does not exist, but when visiting the Nth Root under surds it shows (a / sqrt(b))(sqrt(b) / sqrt(b)) = a * sqrt(b) Which appears to be wrong. —Preceding unsigned comment added by 125.238.148.208 (talk) 22:24, 3 March 2008 (UTC)

[edit] Pronunciation?

I believe this page would be beneficial if it also contained correct pronunciation examples of nth roots.

For example, how do you say 4√200 ? I believe the only correct way to say it is 200 to the fourth root, however maybe some could clarify this.

[edit] Simplifying Radicals

I added some information related to finding products and quotients of radicals w/ different indices and how to simplify indices. I believe the examples I used are correct, if not my apologies and permission (request) to change it ASAP. Nevertheless, I am not quite sure I have written in the correct section. Should it be moved to the section dealing with surds, or should it remain in the 'basic operations' section? -- Ishikawa Minoru 22:06, 7 June 2007 (UTC)

[edit] Finding all roots

The formulas for finding the roots in the article are confusing. What is given in the article is not really an equation, as it has no result (i.e., it is merely an expression). Further, having \sqrt[n]{a} appear in the formula is confusing, as that is the result one is trying to find. Should the formula rather be written as the following (guessing), like it is in Nth root algorithm?

x_{k+1} = e^{(\frac{\phi+2\pi k}{n})i} \times x_k

Also, φ and the "Euler's equation form" should really be defined/expressed in the article. Readers shouldn't have to do this level of research in order to understand an encyclopedia article. SharkD (talk) 08:10, 20 February 2008 (UTC)

[edit] Fifth root extraction

I deleted this section because it did not seem appropriate to an encyclopedia article Gary (talk) 17:13, 29 May 2008 (UTC)