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Simplifying Radical Expressions

Simplifying Radical Expressions. Lesson 10-2: Simplifying Radical Expressions SOL A.3. Objectives. Simplify radical expressions by using the Product Property of Square Roots. Simplify radical expressions by using the Quotient Property of Square Roots. Vocabulary!. Radical Expression:

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Simplifying Radical Expressions

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  1. Simplifying Radical Expressions Lesson 10-2: Simplifying Radical Expressions SOL A.3

  2. Objectives • Simplify radical expressions by using the Product Property of Square Roots. • Simplify radical expressions by using the Quotient Property of Square Roots.

  3. Vocabulary! • Radical Expression: • Equations that contain radicals with variables in the radicand. • Radicand: • The expression that is under the radical sign. • Rationalizing the Denominator: • A method used to eliminate radicals from the denominator of a fraction. • Conjugate: • Binomials of the form a + c and a – c.

  4. Product Property of Square Roots • A radicand is in simplest form if the following three conditions are true: • No radicands have perfect square factors other than 1. • No radicands contain fractions. • No radicals appear in the denominator of a fraction.

  5. Product Property of Square Roots

  6. Quotient Property of Square Roots

  7. Practice Time! • Work problems 1 – 15 odd on page 615.

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