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Simplify
Radical Expressions
• Simplest form of a radical expression
• Rationalizing the denominator
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Simplify Radical Expressions
A radical expression is one that uses a radical symbol (√). A radical expression is in simplest form if the following conditions are true:
• No perfect square factors other than one are in the radicand
• No fractions are in the radicand
• No radicals appear in the denominator of a fraction
Product Property of Radicals
The square root of a product equals the product of the square roots of the factors.
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Simplify Radical Expressions
Example 1:
Simplify Radical Expressions
Example 2:
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Quotient Property of Radicals
The square root of a quotient equals the quotient of the square roots of the numerator and denominator.
Simplify Radical Expressions
Example 3:
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Rationalizing the Denominator
Example 4:
Add & Subtract Radicals
Example 5:
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Multiply Radical Expressions
Example 6:
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