Study Guide for Chapter 9 & 10

Study Guide for Chapter 9 & 10 - MATH A: Chapter 9...

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MATH A: Chapter 9 Study Guide, Roots and Radicals 9.1, Finding Roots Objectives: 1) Find Square Roots 2) Find higher roots. I. Fundamentals A. Square Roots 1. To find a square of a number – multiply by itself 2 a a a = • 2. To find a cube of a number – multiply the number by itself 3 times. 3 a a a a = • • 3. To find a square root of a number – use the inverse process of squaring 4. To find a cube root of a number – use the inverse process of cubing. B. Radicals 1. n a b = 2. Definition of the Principal nth Root of a real number : If a is a nonnegative real number, and b is the nonnegative root of a, we can write n b a = , denoted by n a b = ,is the Principal nth Root of a. C. Finding perfect roots: Evaluate 1) 36 2) 9 - 3) 1 25 4) 36 64 + 5) 36 64 + D. See the table on page 552 for the perfect squares. II. Roots greater than square roots A. Definition of the principal nth root of a real number: n a b = means that n b a = . The natural number n is called the index. The index, 2, for square roots is usually omitted. B. Reversing nth Powers with nth Powers Roots Vocabulary Cube Roots 3 4 3 64 Index is ( 29 3 2 - 3 8 - 3 5 3 125 Fourth Roots 4 1 4 1 Index is 4 3 4 81 Fifth Roots 5 2 5 32 Index is Nth Roots n b n a Index is 1
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C. Finding Roots 1) 6 64 2) 3 1 125 3) 3 125 - 4. 4 - 5) 4 81 - 6) 3 3 8 - 7) 6 49 2 81 - 9.2, Multiplying and Dividing Radicals Objectives: 1) Multiply square roots. 2) Simplify square roots. 3) Use the quotient rule for square roots. 4) Use the product rule and quotient rule for other roots. I. Product Rule for Radicals:
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This note was uploaded on 01/07/2010 for the course MATH 1 taught by Professor Staff during the Spring '08 term at UC Davis.

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Study Guide for Chapter 9 & 10 - MATH A: Chapter 9...

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