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Radical Expressions Simplification for Learning

Learn how to simplify radical expressions using the Product Property of Square Roots and Quotient Property of Square Roots. Practice simplifying square roots with prime factorization and multiplying radicals. Understand how to rationalize the denominator using conjugates.

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Radical Expressions Simplification for Learning

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  1. Splash Screen

  2. Learning Target • I CAN simplify radical expressions by using the Product Property of Square Roots and the Quotient Property of Square Roots. Then/Now

  3. Radical Expression – an expression that contains a radical sign. Concept 1

  4. Product Property of Square Roots = 2● Simplify. Simplify Square Roots Prime factorization of 52 Answer: Example 1

  5. A B C D A. B. C.15 D. Example 1

  6. = 2 ● 2● Simplify. Answer: 4 Multiply Square Roots Product Property Product Property Example 2

  7. A B C D A. B. C. D.35 Example 2

  8. 3 Answer: Simplify a Square Root with Variables Prime factorization Product Property Simplify. Example 3

  9. A B C D A. B. C. D. nc Example 3

  10. Rationalize the Denominator - a process that involves multiplying the numerator and denominator by a factor that eliminates radicals in the denominator. Concept 2

  11. Which expression is equivalent to ? A C B D Read the Test Item The radical expression needs to be simplified. Example 4

  12. Solve the Test Item Product Property of Square Roots Example 4

  13. Simplify. Prime factorization Answer: The correct choice is D. Example 4

  14. A B C D A. B. C. D. Example 4

  15. Conjugates – binomials of the form: ab + cd and ab - cd

  16. Use Conjugates to Rationalize a Denominator (a – b)(a + b) = a2 – b2 Simplify. Example 5

  17. A B C D A. B. C. D. Example 5

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