RootsandRadicalExpressions根和根的表达式

会计学1RootsandRadicalExpressions根和根的表达式Inthischapter,youwilllearn:WhatapolynomialisAdd/subtract/multiply/dividepolynomialsSimplifyradicals,exponentsSolvingequationswithexponentsandradicalsComplexnumbersConjugates第1页/共22页Whatisamonomial?Anexpressionthatisanumber,thatmayormaynotincludeavariable.MONOMIALSNOTMONOMIALS第2页/共22页RealRootsRealrootsarethepossiblesolutionstoanumber,raisedtoapower.第3页/共22页VocabularyandPropertiesindexRadicalsignradicand第4页/共22页Howtofindtheroot(otherthanasquareroot),usingagraphingcalculator

1.Inputtherootyouaregoingtotake(forexample,ifyouaretakingthethirdrootofanumber,startwiththe3).2. PressMATHandselectoption53.Enterthevalueyouaretakingtherootof.Ex:4MATH581ENTER3第5页/共22页Practice:FindeachrootSolutions:22,7,andERR:NONREALANS

Let’stakeacloserlookatthisanswer第6页/共22页PropertiesandNotation:WhennisanevennumberWhy?Wewanttomakesurethattherootisalwayspositivewhentheindexisanevennumber第7页/共22页Note:Absolutevaluesymbolsensurethattherootispositivewhenxisnegative.Theyarenotneededforybecausey2isnevernegative.Absolutevaluesymbolsmustnotbeusedhere.Ifxisnegative,thentheradicandisnegativeandtherootmustalsobenegative.Noticethattheindexisanoddnumberhere...第8页/共22页Let’strysomeSimplifyeachexpression.Usetheabsolutevaluesymbolswhenneeded.第9页/共22页SolutionsSimplifyeachexpression.Usetheabsolutevaluesymbolswhenneeded.第10页/共22页PropertiesofExponents–let’sreview...第11页/共22页NEGATIVEEXPONENT

RULE第12页/共22页PRODUCTORPOWER

RULEHAVETOHAVETHE

SAMEBASE第13页/共22页QUOTIENTOFPOWER

RULEHAVETOHAVETHE

SAMEBASE第14页/共22页POWEROFPOWER

RULE(x4)³第15页/共22页POWEROFPRODUCT

RULE(2x4)⁵第16页/共22页POWEROFAQUOTIENT

RULE第17页/共22页POWEROFQUOTIENT2

RULE第18页/共22页FractionalExponents

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