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Quiz 5-2 Simplify the following:

Quiz 5-2 Simplify the following:. 2. . Math - 2. Sec 5-3 Properties of Square Roots. Simplify the Radical. Example: 2*2 = 4 Try:. Product Properties of Radicals. * . * = = . * = = . * = 2 2. * = 3

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Quiz 5-2 Simplify the following:

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  1. Quiz 5-2 Simplify the following: 2.

  2. Math - 2 Sec 5-3 Properties of Square Roots

  3. Simplify the Radical Example: 2*2 = 4 Try:

  4. Product Propertiesof Radicals • * * = = * = = * = 2 2. * = 3 * = * = 5. * =

  5. Quotient Property of square roots • In order to divide radicals the index number must be the same • Check to see if the numerator and the denominator can simplify • Simplify: Rewrite the problem so that there are no radicals in the denominator. This is called rationalizing the denominator Index Number 6. = = 7. = * = = = Rationalize Denominator

  6. Quotient Property (simplify) 8. = = ?? 9. = (simplify) 10. = (simplify) 11. = ?? (simplify)

  7. Quotient Property Rationalize the Denominator. Rationalizing the denominator means to remove the radical from the denominator. Rationalize denominator EX. = * = = =

  8. Rationalize Denominator (con) 12. = ?? 13. = ?? 14.

  9. Multiply the binomials with adicals Example: ( 2 + ) ( 4 + ) (Foil) First: 2 *4 = ? Outside: 2 * = ? Inside: 4 * = ? Last: = ? Answer: 8+ 2 +4 +

  10. Try: 15. ( 2 + ) ( 2 - ) Ans: -1 16. ( 3 + ) ( 3 - ) Ans: 5 17. ( 1 + ) ( 1 - ) Ans: -2

  11. Rational the denominator (con) Rationalize the denominator using the conjugate (same terms opposite sign). Example: (Multiply by the conjugate to solve in the numerator and denominator, same terms, opposite sign) * = (Foil) first Out inside last 0 = = = = 3 +

  12. Try: Rationalize Denominator 18. Answer: 19. Answer :

  13. The End!!!

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