Mini-Lecture 8.3: Adding and Subtracting Radicals - Edubirdie

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

2023
Views:

350

Pages:

1
Author:

molana9654

Mini-Lecture 8.3 Adding and Subtracting Radicals Learning Objectives: 1. Add or subtract like radicals. 2. Simplify radical expressions, and then add or subtract any like radicals. Examples: 1. Add or subtract as indicated. a) 20 5 + 3 5 b) 11 7 − 3 7 d) 11 3 − 12 3 + 35 + 3 3 c) −7 11 − 5 11 e) 3 7 + 5 21 − 8 21 − 10 7 2. Add or subtract by first simplifying each radical and then combining any like radicals. Assume that all variables represent positive numbers. a) 8 5 + 9 20 b) −7 2 + 9 50 c) −8 3 − 3 75 d) −10 48 − 3 75 e) −5 8 x − 6 18 x f) −5 x 2 + 3 x + 8 x 2 3. Simplify each radical expression. a) 5 3 7 + 8 3 7 d) 3 40 + 6 3 135 b) −3 3 12 + 8 3 12 − 10 e) 3 128 − 5 3 250 c) 2 3 25 − 7 3 5 + 6 3 25 f) 7 3 x + 3 64 x Teaching Notes: • • • Many students need extra practice in identifying like radicals. Some students combine the coefficients and multiply the like radicals. Many students confuse and 3 . In fact, a common error is to evaluate 3 • 4 = 2 or 3 36 = 6 . Encourage students to be cautious determining the index. Each section in the text has 3 worksheets in the Extra Practice featuring differentiated learning. Answers: 1a) 23 5 ; 1b) 8 7 ; 1c) −12 11 ; 1d) 2 3 + 35 ; 1e) −3 21 − 7 7 ; 2a) 26 5 ; 2b) 38 2 ; 2c) −23 3 ; 2d) −55 3 ; 2e) −28 2x ; 2f) 6x ; 3a) 13 3 7 ; 3b) 5 3 12 − 10 ; 3c) 8 3 25 − 7 3 5 ; 3d) 20 3 5 ; 3e) −213 2 ; 3f) 113 x

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