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

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

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

Objective SWBAT simplify radical expressions SWBAT simplify radical expressions

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

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

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

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

Try It Out…

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. 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

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

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

Try It Out…

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

Try It Out… simplify & combine like terms

Homework Text p. 723, #4-52 multiples of 4, #67 & 68