Multiplication Property of Square and Cube  Roots

Example 1

Simplify:

Solution

To simplify, use the Multiplication Property to rewrite each radical.

a.
	Write the radical as the product of two radicals.
	Simplify
b.
	Write the radical as the product of two radicals.
	Simplify

Example 2

Simplify:

Solution

Use the Multiplication Property of Square Roots or Cube Roots to rewrite each expression. Then simplify the result.

a.
	Write the product as a single radical.
	Multiply the numbers under the radical symbol.
	Simplify the radical.	= 9
b.
	Write the product as a single radical.
	Multiply the numbers under the radical symbol.
	Simplify the radical.	= 5