Properties of Radicals
• Simplify radical expressions using the product
rule for radicals
• Simplify radical expressions using the quotient
rule for radicals
Simplified Form of a Radical
A radical expression is in simplified form if all of the
following conditions are met:
1. The radicand has no factor raised to a
power greater than or equal to the index
2. There are no radicals in the denominator of
the fraction
3. The radicand does not contain a fraction.
Simplifying Radical Expressions
Condition1
Simplify
Simplify
Simplify
Product Rule for Radicals
Simplify
Simplify
Quotient Rule for Radicals
Simplifying Radical Expressions
Condition 2
Simplify
Simplify
Simplify
Simplify