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Concept

Root

The root of a number expresses another number that, when multiplied by itself times, will result in Aside from the radical symbol, the notation is made up of the radicand and the index

The resulting number is commonly called a radical. For example, the radical expression is the fourth root of simplifies to because multiplied by itself times equals The general expression represents a number which equals when multiplied by itself times.

For any real number and natural number the expression is defined as the root of Note that a root with an even index is defined only for non-negative numbers. Therefore, if is even, then must be non-negative.
power of 1/n as root

Just as with exponents, the most common roots have special names: square roots and cube roots have an index of and respectively.

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