S5_Int2_Surds

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Unformatted text preview: www.mathsrevision.com www.mathsrevision.com www.mathsrevision.com Surds Surds Simplifying a Surd Rationalising a Surd www.mathsrevision.com Conjugate Pairs S5 Int2 www.mathsrevision.com www.mathsrevision.com www.mathsrevision.com 5 . 2 Starter Questions Starter Questions Use a calculator to find the values of : 1. 3 6 = 6 = 12 = 2 = 2 2 . 14 4 3 3 . 8 4 4 . 16 1.4 1 2 .7 6 3 6 . 2 1 S5 Int2 www.mathsrevision.com www.mathsrevision.com www.mathsrevision.com www.mathsrevision.com Learning Intention Learning Intention Success Criteria Success Criteria 1. To explain what a surd is and to investigate the rules for surds. 1. 1. Learn rules for surds. Learn rules for surds. The Laws Of Surds 1. 1. Use rules to simplify surds. Use rules to simplify surds. S5 Int2 www.mathsrevision.com www.mathsrevision.com www.mathsrevision.com 2 What is a Surd What is a Surd 3 6 = 6 = 12 14 4 1.4 1 2 .7 6 3 2 1 The above roots have exact values and are called rational These roots do NOT have exact values and are called irrational OR Surds S5 Int2 www.mathsrevision.com www.mathsrevision.com www.mathsrevision.com Adding &amp;amp; Subtracting Surds Adding and subtracting a surd such as 2. It can be treated in the same way as an x variable in algebra. The following examples will illustrate this point. 4 2 + 6 2 =10 2 16 2 3 - 7 2 3 =9 2 3 10 3 + 7 3 - 4 3 =13 3 Note : 2 + 3 does not equal 5 S5 Int2 www.mathsrevision.com www.mathsrevision.com www.mathsrevision.com First Rule 4 6 24 = a b ab = 4 10 40 = List the first 10 square numbers Examples 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 S5 Int2 www.mathsrevision.com www.mathsrevision.com www.mathsrevision.com Simplifying Square Roots Some square roots can be broken down into a mixture of integer values...
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## This note was uploaded on 02/13/2012 for the course MAT 205 math 205 taught by Professor Google during the Spring '10 term at University of Phoenix.

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S5_Int2_Surds - www.mathsrevision.com www.mathsrevision.com

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