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Ch. 7.3 Binomial Radical Expression Binomial Radical Expressions ALGEBRA 2 LESSON 7-3 Add or subtract if possible. a. 7 xy + 3 xy 7 xy + 3 xy = (7 + 3) = 10 b. 2 3 x–2 3 xy xy Distributive Property Add. 5 The radicals are not like radicals. They cannot be combined. 7-3 P. 347 Check understanding #1 A - C Binomial Radical Expressions ALGEBRA 2 LESSON 7-3 The rectangular window shown below is made up of three equilateral triangles and two right triangles. The equilateral triangles have sides of length 4 feet. What is the perimeter of the window? The height of an equilateral triangle with side length 4 ft is 2 So the window’s height is 2 3 ft. The length of the window is 8 ft. The perimeter is 2(2 3 + 8) ft or 16 + 4 7-3 3 ft. 3 ft. Binomial Radical Expressions ALGEBRA 2 LESSON 7-3 3 20 – 45 + 4 Simplify 3 20 – 80 = 3 22 • 5 – =3•2 =6 45 + 4 32 • 5 + 4 5–3 5–3 5+4•4 5 + 16 = (6 – 3 + 16) = 19 80. 5 5 7-3 5 42 • 5 5 Factor each radicand. Simplify each radical. Multiply. Use the Distributive Property. Check understanding p. 375 # 3 Binomial Radical Expressions ALGEBRA 2 LESSON 7-3 Multiply (2 + 4 (2 + 4 3)(1 – 5 3)(1 – 5 3) = 2 • 1 – 2 • 5 = 2 + (4 – 10) = –58 – 6 3+4 3 – 60 3 7-3 3). 3•1–4 3•5 3 Use FOIL. Distributive Property Check understanding p. 375 # 4 Binomial Radical Expressions ALGEBRA 2 LESSON 7-3 7)(3 – Multiply (3 + (3 + 7)(3 – 7) = 32 – ( 7)2 7). (a + b)(a – b) = a2 – b2 =9–7=2 7-3 Binomial Radical Expressions ALGEBRA 2 LESSON 7-3 Rationalize the denominator of 2– 3 4+ 3 = = = = 2– 3 4+ 3 • 2– 3 4+ 3 8–2 4– 3 4– 3 • 3–4 42 – ( 11 – 6 13 4– 4– 3 4– 3 3+( 3)2 Simplify. 3 7-3 3 4+ 3 3 is the conjugate of 4 + Multiply. 3)2 2– 3. Homework Page 376, Exercises: 2 – 42 (EOE)