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Concept

Root

The root of a number a expresses another number that, when multiplied by itself n times, will result in a. Aside from the radical symbol, the notation is made up of the radicand a and the index n.
The resulting number is commonly called a radical. For example, the radical expression is the fourth root of 16. simplifies to 2 because 2 multiplied by itself 4 times equals 16.
The general expression represents a number which equals a when multiplied by itself n times.

For any real number a and natural number n, the expression is defined as the root of a. Note that a root with an even index is defined only for non-negative numbers. Therefore, if n is even, then a 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 2 and 3, respectively.

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