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: multi_1

Example 1 What is the product of multi_2 ?

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.

multi_3

Example 2 What is the product of multi_4 ? 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.

multi_5

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