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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
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