simplifying radicals notes

3 Radicals.notebookOctober 01, 2013DO NOW: Give an example of each of the following:perfect square:Radicals1)Some Important Rules of Radicalsab =abnon ­ perfect square:2) a . b = a . b"plus or minus"Non Square Roots38= 2. .____ ____ ____ = 8416= 2. . .__ __ __ __ = 16Simplifying Radicalsonly need to do when the radical is not a perfect square20 48Factors of 20perfectsquare.non ­ perfectsquare1

3 Radicals.notebookOctober 01, 2013Simplifying Radicals Using The CalculatorY 1= x 2Y 2= # under radical sign / x 2Note: Middle2nd graph ­­> tablex y 1 y 2 number is theperfect squareSimplifying Radicals Examples:8 32x­value acrossfrom thatnumberLook forlowest whole numberin Y 2column480­527­­­works with variables too!!­­­*only even exponents are perfect squares*why?Examples:16x 22

3 Radicals.notebookOctober 01, 2013Simplifying Non - Square Roots3 323 54can do in calculator also!!just change x 2 to x 3 in y2!Examples:Factors of 32perfectCUBE.non ­ perfectCubeList of perfect cubes:Variables:**any exponent that is ________________ is a perfect CUBE****any exponent that is ________________ is a perfect FOURTH**3