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Simplify Radical Expressions using Product Property

Learn to simplify radical expressions by applying the product property of radicals. Understand how to find the simplest form of a radical expression by removing perfect square factors and fractions. Examples provided for practice.

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Simplify Radical Expressions using Product Property

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  1. WARM UP 4 POWER OF A PRODUCTSimplify the expression. (3x)4 (-5x)3 (xy)6 (8xy)2

  2. WARM UP 3 POWER OF A PRODUCT Simplify the expression. (3x)4 (-5x)3 (xy)6 (8xy)2

  3. WARM UP 2 POWER OF A PRODUCT Simplify the expression. (3x)4 (-5x)3 (xy)6 (8xy)2

  4. WARM UP 1 POWER OF A PRODUCT Simplify the expression. (3x)4 (-5x)3 (xy)6 (8xy)2

  5. WARM UP 0 POWER OF A PRODUCT Simplify the expression. (3x)4 (-5x)3 (xy)6 (8xy)2

  6. 9.3 Simplifying Radicals Goal Simplify radical expressions Key Words Radical Simplest form of a radical expression Product property of radicals Quotient property of radicals

  7. 9.3 Simplifying Radicals The simplest form of a radical expression is an expression that has no perfect square factors other than 1 in the radicand, no fractions in the radicand, and no radicals in the denominator of a fraction. Properties of radicals can be used to simplify expression that contain radicals.

  8. 9.3 Simplifying Radicals

  9. 9.3 Simplifying Radicals

  10. 9.3 Simplifying Radicals EXAMPLE 2 Simplify with the Quotient Property Simplify Factor using perfect squares Divide out common factors Use quotient property Simplify

  11. 9.3 Simplifying Radicals EXAMPLE 3 Rationalize the Denominator Simplify Factor using perfect squares Divide out common factors Use quotient property Simplify

  12. 9.3 Simplifying Radicals EXAMPLES

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