Multiplication Property of Radicals

Property — Multiplication Property of Radicals

English The n^th root of a product is the product of the n^th roots.

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

Example

Example

Use the Multiplication Property of Radicals to rewrite each expression. Then simplify the result.

Solution

a.
	Write the product as a single radical.
	Multiply the factors under the radical symbol.
	Simplify the radical.	= 8
b.
	Write the product as a single radical.
	Multiply the factors under the radical symbol.
	Simplify the radical.	= w