Transcription of 9.2 Simplifying Radical Expressions
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9.2 Simplifying Radical Expressions
2001 McGraw-Hill Companies707 Simplifying Radical Expressions involving numeric Expressions involving algebraic radicalsIn Section , we introduced the Radical notation. For most applications, we will want tomake sure that all Radical Expressions are in simplest accomplish this, the follow-ing three conditions must be expression involving square roots is in simplest are no perfect-square factors in a fraction appears inside a Radical appears in the and Properties:Square Root Expressions inSimplest FormFor instance, considering condition 1,is in simplest form because 17 has noperfect-square factorswhereasis notin simplest formbecause it does contain a perfect-square perfect squareTo simplify Radical Expressions , we ll need to develop two important properties. First, lookat the following Expressions :Because this tells us that the following general rule for radicals 9 14 19,14 19 2 3 614 9 136 6112 14 3112117 For any positive real numbers aand b,In words, the square root of a product is the product of the square 1a 1bRules and Properties:Property 1 of Radicals708 CHAPTER9 EXPONENTS ANDRADICALS 2001 McGraw-Hill CompaniesSimplifying Radical ExpressionsSimplify each expression.
9.2 Simplifying Radical Expressions 9.2 OBJECTIVES 1. Simplify expressions involving numeric radicals 2. ... Explain how this happened. Will the area always be a rational number? Explain. 54. (a) Evaluate the three expressions using odd values of n: 1, 3, 5, 7, etc. Make a chart like the one below and complete it. n2 1 2, n, n2 1 2 3 3
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