Mini-Lecture 8.1: Introduction to Radicals | Lecture Note - Edubirdie

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

2023
Views:

187

Pages:

1
Author:

iwanankgfd

Mini-Lecture 8.1 Introduction to Radicals Learning Objectives: 1. 2. 3. 4. 5. Find square roots. Find cube roots. Find nth roots. Approximate square roots. Simplify radicals containing variables. Examples: 1. Find each square root. a) 49 b) 1 36 c) − 9 d) −100 e) 25 121 f) −216 c) 0.64 2. Find each cube root. a) 3 8 b) 3 3 − 8 27 3. Find each root. a) 4 16 b) 3 −27 c) − 4 81 625 4. Approximate each square root to three decimal places. a) 12 b) c) − 120 22 5. Find each root. Assume that all variables represent positive numbers. a) x2 b) a4 c) d) 81x 4 e) x10 y 8 z 2 f) m8 3 27a 6 b 9 c 3 Teaching Notes: • Many students confuse 1c), 1d), and 2b). • Students have a hard time understanding x 2 = x even though we assume that all variable represent positive numbers. It is very important to stress that using a calculator gives an approximation and leaving an answer in radical form is an exact value. • Answers: 1a) 7; 1b) 1/6; 1c) -3; 1d) not a real number; 1e) 5/11; 1f) 0.8; 2a) 2; 2b) -6; 2c) -2/3; 3a) 2; 3b) -3; 3c) -3/5; 4a) 3.464; 4b) 4.69; 4c) -10.954; 5a) x; 5b) a2; 5c) m4; 5d) 9x2; 5e) x 5 y 4 z ; 5f) 3a 2b3c

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