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 Depdendent Variable

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 Dependent Variable

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We have defined as the positive or principal nth root of a for appropriate values of a and n. An alternative notation for uses radicals.

If n is an even natural number and a > 0 or n is an odd natural number, then

The symbol is a radical sign, the number a is the radicand, and n is the index of the radical. The familiar symbol is used instead of .

EXAMPLE 1

With written as , also can be written using radicals.

The following properties of radicals depend on the definitions and properties of exponents.