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 Dependent Variable

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# Division Property of Radicals

The Division Property of Radicals allows us to write a single radical as the quotient of two radicals.

 Here are two examples: Square Root Cube Root It can also be used to write the quotient of two radicals as a single radical, provided they have the same index.

 Here are two examples: Square Root Cube Root Property â€” Division Property of Radicals

English The nth root of a quotient is the quotient of the nth roots.

Algebra where and are real numbers, b 0, and n is a positive integer.

Example Example

Simplify: Solution

To simplify, use the Division Property of Radicals to rewrite each radical.

 a. Write each radical as a quotient of radicals. Simplify  b. Write each radical as a quotient of radicals. Simplify  All Right Reserved. Copyright 2005-2019