Multiplying & Dividing
Multiplying
In order to multiply two or more radical expressions of the same degree, the expressions under the radical sign can be multiplied.
Product Property of Roots:
Example 1 What is the product of ?
Step 1. Verify the degree of the radicals are the same.
Both terms have a degree of 3.
Step 2. Use the Product Property of Roots to multiply the terms.
Example 2 What is the product of ? Assume all variables are positive.
Step 1. Verify the degree of the radicals are the same.
Two terms have a degree of two and can be multiplied, the term with degree 3 will stay the same.
Step 2. Use the Product Property of Roots to multiply the terms with the same degree.