Binomial Radical Expressions ALGEBRA 2 LESSON 7-3 7-3 Algebra 2 Lesson 7-3 (Page 374)

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Presentation transcript:

Binomial Radical Expressions ALGEBRA 2 LESSON Algebra 2 Lesson 7-3 (Page 374)

Binomial Radical Expressions ALGEBRA 2 LESSON To add and subtract radical expressions.

Binomial Radical Expressions ALGEBRA 2 LESSON Like radicals are radical expressions that have the same index and the same radicand.

Binomial Radical Expressions ALGEBRA 2 LESSON 7-3 Add or subtract if possible. a. 7 xy + 3 xy Distributive Property 7 xy + 3 xy = (7 + 3) xy = 10 xy Subtract. 33 b. 2 x – 2 5 The radicals are not like radicals. They cannot be combined. 7-3

Binomial Radical Expressions ALGEBRA 2 LESSON 7-3 Add or subtract if possible. 7-3 a. 42 b. c. d.

Binomial Radical Expressions ALGEBRA 2 LESSON 7-3 Add or subtract if possible. 7-3 a. b. c. d. cannot combine

Binomial Radical Expressions ALGEBRA 2 LESSON 7-3 Add or subtract if possible. 7-3 a. b. c. 20xy d. 9xy

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? So the window’s height is 2 3 ft. The length of the window is 8 ft. The perimeter is 2( ) ft or ft. The height of an equilateral triangle with side length 4 ft is 2 3 ft. 7-3

Binomial Radical Expressions ALGEBRA 2 LESSON Find the perimeter of the window if each small square is 6 in. on a side. a. in. or about in. b. about sq. in. c. 72 in. d. 576 sq. in.

Simplify 3 20 – Binomial Radical Expressions ALGEBRA 2 LESSON – = – Factor each radicand. Simplify each radical.= – Multiply.= 6 5 – Use the Distributive Property.= (6 – ) 5 =

Binomial Radical Expressions ALGEBRA 2 LESSON a. b. 2 c. d.

Binomial Radical Expressions ALGEBRA 2 LESSON To multiply and divide binomial radical expressions.

Binomial Radical Expressions ALGEBRA 2 LESSON 7-3 Multiply ( )(1 – 5 3). Use FOIL. ( )(1 – 5 3) = 2 1 – – = 2 + (4 – 10) 3 – 60Distributive Property = –58 –

Binomial Radical Expressions ALGEBRA 2 LESSON a. –1 b. c. d. 1

Binomial Radical Expressions ALGEBRA 2 LESSON 7-3 Multiply (3 + 7)(3 – 7). = 9 – 7 = 2 (a + b)(a – b) = a 2 – b 2 (3 + 7)(3 – 7) = 3 2 – ( 7) 2 7-3

Binomial Radical Expressions ALGEBRA 2 LESSON a. b. c. 9 d. 3

Binomial Radical Expressions ALGEBRA 2 LESSON 7-3 Rationalize the denominator of 2 – – = 2 – – 3 4 – 3 is the conjugate of = 2 – – 3 Multiply. 4 2 – ( 3) 2 8 – 2 3 – ( 3) 2 = Simplify. 11 – = 7-3

Binomial Radical Expressions ALGEBRA 2 LESSON Rationalize the denominator of. a. b. c. d.