Slide 1Definition of a Square RootFind any square root(s) of…Slide 4ConclusionPrincipal Square RootExamine these.Find the following.Square Root FunctionSlide 10Other Types of RootsSlide 12Roots with variablesSlide 14Slide 15Find the following. Assume all variables are positive.Slide 17Slide 18Section 7.1Basic of Roots (Radicals)Definition of a Square Rootcac 2if and only ifis a square root of aFind any square root(s) of…16.049440025144100Find any square root(s) of…644Conclusion•If a is a positive number, there are two square roots; one positive and one negative.•If a is a negative number, there is no real square root.Principal Square Root•The principal square root of a positive number is the positive square root.•It is indicated by this sign.aExamine these.existnot does 164,416 ,416 ,416Find the following.81121 324121 642916.0 9Square Root Functionfollowing. thefind ,36)( If xxr)4()1(393123)2(6)2(rrrFind... 23)( ttf)3()9()2()1(ffffOther Types of Rootscanacnif and only ifRadical Sign:n: the index‘a’: the radicandnais a radical!4354316125 181 64Notice: An ‘odd’ root of a negative value is real. An ‘even’ root of a negative does not exist.Roots with variablesna•If n is ‘even’, this expression is only defined if a is positive.•Therefore we will always assume that all variables are positive when figuring roots.Find the following.510443393362 tnnaamrxxnknkaa ---n of multiple a isk If :generalInFind the following.Assume all variables are positive.421025)1(txx420412481)8(axm6)(
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