Презентация по математике на тему Вынесение множителя из-под знака корня. Внесение множителя под знак корня. (8 класс)

John Louis von Neumann“If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.”  Square Root VocabularyRadicandRadical signRadical expression

Properties of Square RootsProduct Property𝒙𝒚=𝒙∙𝒚 𝐰𝐡𝐞𝐫𝐞 𝒙,𝒚≥𝟎Quotient Property𝒙𝒚=𝒙𝒚 𝐰𝐡𝐞𝐫𝐞 𝒙≥𝟎, 𝒚>𝟎Square property𝒙𝟐=𝒙 𝐟𝐨𝐫 𝐚𝐧𝐲 𝐫𝐞𝐚𝐥 𝐱  Simplest formNo perfect square factors are inside the radical.No fractions are in the radical.No radicals in the denominator of a fraction. Warm up!Read the expression and evaluate:22=4(−7)2=4964=8(−4)2=4Evaluate:4∙49=4∙49=2∙7=140.25∙81=0,25∙81=0,5∙9=4,5 


Warm up!Calculate:5,62=5,6=5,6(−15)2=−15=15Simplify:𝑐2,  𝑐>0𝑦2,  𝑦<0𝑛10,  𝑛>0𝑚6,  𝑚<0 𝑐2=𝑐 𝑦2=−𝑦 𝑛10=𝑛5∙2(𝑛5)2=𝑛5=𝑛5 𝑚6=𝑚3∙2(𝑚3)2=𝑚3=−𝑚3 


Compare𝟐𝟓 > 𝟏𝟔𝟖,𝟐 < 𝟖,𝟑𝟔𝟑 > 𝟓𝟑𝟕𝟐 < 𝟕𝟐 

Changing from entire to mixed radicalChanging from mixed to entire radical02.12.2016 Compare 𝟕𝟐 and 𝟕𝟐 I method: simplification or changing from entire to mixed radical.𝟕𝟐=𝟑𝟔∙𝟐=𝟑𝟔∙𝟐=𝟔𝟐𝟔𝟐<𝟕𝟐→𝟕𝟐<𝟕𝟐II method: changing from mixed to entire radical.𝟕𝟐=𝟒𝟗∙𝟐=𝟒𝟗∙𝟐=𝟗𝟖𝟕𝟐<𝟗𝟖→𝟕𝟐<𝟕𝟐  Mixed and Entire RadicalsEx. Mixed: 43, 227, −35. A mixed radical is a radical that has a coefficient other than 1.  This means  that there is a number in front of the root sign.Ex. Entire: 36, 17, −50.An entire radical is a radical that has a coefficient of 1.  This means that  there isn't a number in front of the root sign. 
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