Alegebra

Baratto?Bergman: Beginning Algebra, Seventh version 9. Exponents and Radicals 9.2 changeing Radical Expressions © The McGraw?Hill Companies, 2008 9.2 < 9.2 Objectives > enthrone Simplifying Radical Expressions 1 > Simplify scenes involving numeric beginnings Simplify expressions involving algebraic revolutionarys 2> In Section 9.1, we introduced thoroughgoing notation. For most applications, we want to catch sure that all radical expressions ar in simplest form. To come across this, the by-line three conditions must(prenominal) be satis?ed. Square Root Expressions in Simplest Form Beginning Algebra An expression involving square roots is in simplest form if 1. There are no perfect-square factors in a radical. 2. No fraction appears interior a radical. 3. No radical appears in the denominator of a fraction. The Streeter/Hutchison serial publication in math For instance, considering condition 1, 117 whereas 112 112 is not in simples t form 14 # 3 is in simplest form because 17 has no perfect-square factors because it does blend in a perfect-square factor: A perfect square © The McGraw-Hill Companies. only Rights Reserved. To simplify radical expressions, we need to develop two principal(prenominal) properties.

First, numerate at the following expressions: 14 # 19 14 # 9 2#3 136 6 6 14 # 19, the following general rule for radicals Because this tells us that 14 # 9 is suggested. Property Property 1 of Radicals For any nonnegative truly numbers a and b, 1ab 1a # 1b In words, the square root of a ingathering is the product of the square root s. 845 Baratto?Bergman: Beginning Alg! ebra, Seventh Edition 9. Exponents and Radicals 9.2 Simplifying Radical Expressions © The McGraw?Hill Companies, 2008 846 CHAPTER 9 Exponents and Radicals good example 1 illustrates how this property is applied in simplifying expressions when radicals are involved. c put down pattern 1 Simplifying Radical Expressions Simplify each expression. (a) 112 14 #...If you want to get a full essay, order it on our website: BestEssayCheap.com

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