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Do Now 5/4/10

Do Now 5/4/10. Take out HW from last night. Cumulative Test Chapters 1-10 Copy HW in your planner. Text p. 723, #4-52 multiples of 4, #67 & 68 In your notebook, define a perfect square in your own words. Then list the squares of the numbers 1 to 20. (remember this?). 1) radicand

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Do Now 5/4/10

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  1. Do Now 5/4/10 • Take out HW from last night. • Cumulative Test Chapters 1-10 • Copy HW in your planner. • Text p. 723, #4-52 multiples of 4, #67 & 68 • In your notebook, define a perfect square in your own words. Then list the squares of the numbers 1 to 20. (remember this?)

  2. 1) radicand 2) square root 4) 9 5) -8 6) ±10 7) -11 8) 4y – 12 9) 2x – 4 10) –x² - 11x 11) 4x² - 36x 12) (x + 2)² 13) (m + 8)(m + 1) 14) (r + 7)( r + 1) 15) (b + 8)(b + 2) ClassworkText p. 708, #1-16 all; not 3

  3. Chapter 11 “Radical and Geometry Connections” • (11.2) Simplify Radical Expressions • (11.3)Solve Radical Equations • (11.4) Apply the Pythagorean Theorem • (11.5) Apply the Distance and Midpoint Formulas

  4. Objective • SWBAT simplify radical expressions

  5. Section 11.2 “Simplify Radical Expressions” • A radical expression is in simplest form if the following conditions are true: • No perfect square factors other than • 1 are in the radicand. -No fractions are in the radicand. • No radicals appear in the • denominator of a fraction.

  6. Product Property of Radicals • The square root of a product equals the product of the square roots of the factors.

  7. Try It Out… When multiplying radicals, multiply the radicands together and multiply the numbers in front of the radical sign together. Then simplify.

  8. Quotient Property of Radicals • The square root of a quotient equals the quotient of the square roots of the numerator and denominator.

  9. Try It Out…

  10. Rationalizing the Denominator • Whenever there is a radical (that is not a perfect square) in the denominator, the radical must be eliminated by rationalizing the denominator. Need to rationalize the denominator Multiply by 1 Product property of radicals Simplify

  11. Try It Out… Need to rationalize the denominator Multiply by 1 Simplify

  12. Adding and Subtract Radicals • You can add and subtract radicals that have the same radicands. Think of as combining ‘like terms’ Look for common radicands Simplify

  13. Try It Out…

  14. Multiplying Radical Expressions • You can multiply radical expressions the same way you multiplied monomials and binomials using the distributive property and FOIL. simplify & combine like terms

  15. Try It Out… simplify & combine like terms

  16. HomeworkText p. 723, #4-52 multiples of 4, #67 & 68

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