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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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Learning Objectives:
1. Use the product property to multiply

2. Use the product property to simplify

3. Use the quotient property to simplify

4. Multiply radicals with unlike indices.

1. The Product Property

A radical expression is simplified provided that the
radicand does not contain any factors that are perfect
powers of the index.

 Simplifying a Radical Expression Step 1: Write each factor of the radicand as the product of two factors, one of which is a perfect power of the index. Step 2: Write the radicand as the product of two radicals, one of which contains perfect squares. Step 3: Take the nth root of each perfect power.

Example: Simplify the following:

Example:
Simplify the following:

3. The Quotient Property

 Quotient Property of Radicals If and are real numbers, b ≠ 0, and n ≥ 2 is an integer, then

Example: Simplify: