Transcription of Square Roots Practice Worksheet - Derry Area School ...
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Square Roots Practice Worksheet - Derry Area School ...
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.
NOTE Perfect-square factors are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, and so on. NOTE Apply Property 1. NOTE Notice that we have removed the perfect-square factor from inside the radical, so the expression is in simplest form. NOTE It would not have helped to write because neither factor is a perfect square. 145 115 3 NOTE We look for the ...
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