[latex]a)\ sqrt{2} * sqrt{18} = sqrt{2*18} =sqrt{36} =6\\b)\ sqrt{8,1} * sqrt{0,9} = sqrt{8,1*0,9} = sqrt{7,29} =2,7\\c)\ sqrt[3]{135} : sqrt[3]{5} = sqrt[3]{135:5} = sqrt[3]{27} =3\\d)\ sqrt{frac{2}{3}} * sqrt{frac{8}{27}} = sqrt{frac{2}{3}*frac{8}{27}} = sqrt{frac{16}{81}} =frac{4}{9}[/latex] [latex]e)\frac{ sqrt{20}} { sqrt{45} }= sqrt{frac{20}{45}} = sqrt{frac{4}{9}} =frac{2}{3}\\f) sqrt[3]{frac{2}{25}} * sqrt[3]{frac{4}{5}} = sqrt[3]{frac{2}{25}*frac{4}{5}} = sqrt[3]{frac{8}{125}} =frac{2}{5}[/latex]
[latex]a)\sqrt{2}*sqrt{18}=sqrt{2*18}=sqrt{36}=6\b)\sqrt{8,1}*sqrt{0,9}=sqrt{ frac{81}{10}* frac{9}{10}}= frac{sqrt{9^2*3^2}}{sqrt{100}}= frac{27}{10}=2,7[/latex] [latex]d)\sqrt{ frac{2}{3}}*sqrt{ frac{8}{27}}=sqrt{ frac{2*8}{3*27}}=sqrt{ frac{16}{81}}= frac{4}{9}\e)\sqrt{ frac{20}{45}}=sqrt{ frac{4}{9}}= frac{2}{3}\f)\sqrt[3]{ frac{2}{25}}*sqrt[3]{ frac{4}{5}}=sqrt[3]{ frac{2*4}{25*5}}=sqrt[3]{ frac{8}{125}}= frac{2}{5}\c)\sqrt[3]{135}: sqrt[3]{5}=sqrt[3]{135:5}=sqrt[3]{27}=3[/latex]