nth root

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This is the graph for . It is a square root.
This is . It is a cube root.

An n-th root of a number r is a number which, if multiplied by itself n times, makes r. It is also called a radical or a radical expression. You could say that it is a number k for which this equation is true:

(for meaning of , read exponentiation.)

We write it like this: . If n is 2, then the radical expression is a square root. If it is 3, it is a cube root.

For example, because . The 8 in that example is called the radicand, the 3 is called the index, and the check-shaped part is called the radical symbol or radical sign.

Roots and powers can be changed as shown in .

The product property of a radical expression is shown in .

The quotient property of a radical expression is shown in .

Simplifying[change | change source]

This is an example of how to simplify a radical.

If two radicals are the same, they can be combined. This is when both of the indexes and radicands are the same.[1]

This is how to find the perfect square and rationalize the denominator.

Related pages[change | change source]

References[change | change source]

  1. "Add and Subtract Radicals". mathbitsnotebook.com. Retrieved March 14, 2018.