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Concept

Root

The root of a real number expresses another real number that, when multiplied by itself times, will result in In addition to 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 Notice that 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.