Mini-Lecture 8.2: Simplifying Radicals | Montgomery College - Edubirdie

University:
Montgomery College
Course:
MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems
Academic year:

2023
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298

Pages:

1
Author:

gartelpabv

Mini-Lecture 8.2 Simplifying Radicals Learning Objectives: 1. 2. 3. 4. 5. Use the product rule to simplify square roots. Use the quotient rule to simplify square roots. Simplify radicals containing variables. Simplify higher roots. Key Vocabulary: perfect squares. Examples: 1. Use the product rule to simplify each radical. a) 18 b) d) 160 e) 5 16 c) 12 33 f) −3 50 2. Use the quotient rule and the product rule to simplify each radical. 25 16 a) 99 4 b) c) 125 144 3. Simplify each radical. Assume that all variables represent positive numbers. x5 a) 18 d) x 2 98 g) p b) y9 c) a13 e) 36y3 f) 80y12 300 h) 6 x i) 20 16x z10 4. Simplify each radical. a) 3 40 b) 3 300 c) 3 625 216 Teaching Notes: • Many students have trouble with radicals. • When simplifying, students get confused where to write the numbers – outside the radical symbol or in the radicand. • A common error is to evaluate “ 16 = 4 = 2 ”. Many students do not know when to stop! • Each section in the text has 3 worksheets in the Extra Practice featuring differentiated learning. 3 11 Answers: 1a) 3 2 ; 1b) 2 3 ; 1c) 33 ; 1d) 4 10 ; 1e) 20; 1f) −15 2 ; 2a) 5/4; 2b) ; 2 5 5 3 2 7 2 ; 3a) x 2 x ; 3b) y 4 y ; 3c) a 6 a ; 3d) ; 3e) 6 y y ; 3f) 4 y 6 5 ; 3g) 3 ; 2c) 12 x p 3h) 10 3 4 x ; 3i) ; 4a) 2 3 5 ; 4b) 10 x z5 3 300 ; 4c) 53 5 6

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