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radical (Definition)

The symbol $\sqrt{\hspace{3mm}}$ ; is called a radical. The origin of the radical symbol is the first letter ``r'' of the Latin word radix, which means ``root''.

There is other terminology that is related to radicals: In the expression $\sqrt[3]{x}$ $x$ is the radicand and $3$ is the index.

The index of a radical is usually an integer at least as large as two; however, if the index is two, it is usually not written. Moreover, if a radical does not have a written index, it is understood to be two, in which the case the radical denotes a square root.

A radical expression is an expression that involves a radical.

One can use fractional powers instead of the radical symbol via $\sqrt[n]{x} = x^{\frac{1}{n}}$ This practice of avoiding the radical symbol may be necessary due to typesetting issues.




"radical" is owned by Wkbj79. [ full author list (3) ]
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See Also: radical, even-even-odd rule, nth root

Other names:  radical symbol
Also defines:  radicand, index, radical expression
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Cross-references: fractional powers, square root, integer, expression
There are 28 references to this entry.

This is version 18 of radical, born on 2007-05-17, modified 2008-02-22.
Object id is 9396, canonical name is Radical6.
Accessed 5714 times total.

Classification:
AMS MSC00A05 (General :: General and miscellaneous specific topics :: General mathematics)
 12D99 (Field theory and polynomials :: Real and complex fields :: Miscellaneous)
 30-00 (Functions of a complex variable :: General reference works )

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single quotes by Wkbj79 on 2007-05-20 15:26:49
I have come across a dilemma in the entry to which I am attaching this post (radical).

The user pahio has informed me that one must use single quotes around words that are translations (such as root is within this entry). Typing this as `root' looks magnificent in page images mode, but not so hot in html mode. Instead, typing this as 'root' looks acceptable in html mode, but looks dumb in page images mode.

Does anyone know of a compromise that looks acceptable in both viewing modes and allows for internal linking?
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Nice to have this entry by CompositeFan on 2007-05-18 12:31:29
It amazes me some of the things that PM is still missing. Hip-hip hurray for Warren for adding this entry!

Lisa
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