a) [latex] sqrt{12} : sqrt{3} = sqrt{12:3} = sqrt{4} =2[/latex] b) [latex] sqrt{72} : sqrt{2} = sqrt{72:2} = sqrt{36} =6[/latex] c) [latex] sqrt{1,28} : sqrt{2} = sqrt{1,28:2} = sqrt{0,64} =0,8[/latex] d) [latex] sqrt{0,9} : sqrt{0,1} = sqrt{0,9:0,1} = sqrt{0,9*10} = sqrt{9} =3[/latex] e) [latex] sqrt{ frac{1}{5} } : sqrt{ frac{5}{4} }= sqrt{ frac{1}{5} : frac{5}{4} } = sqrt{ frac{1}{5} * frac{4}{5} } = sqrt{ frac{4}{25} } = frac{2}{5} [/latex] f) [latex] sqrt{ frac{4}{7} } : sqrt{ frac{7}{9} } = sqrt{ frac{4}{7} : frac{7}{9} } = sqrt{ frac{4}{7} * frac{9}{7} } = sqrt{ frac{36}{49} } = frac{6}{7} [/latex] g) [latex] sqrt[3]{24} : sqrt[3]{3} = sqrt[3]{24:3} = sqrt[3]{8} =2[/latex] h) [latex] sqrt[3]{0,5} : sqrt[3]{4} = sqrt[3]{0,5:4} = sqrt[3]{0,125} =0,5[/latex] i) [latex] sqrt[3]{1,6} : sqrt[3]{0,0002} = sqrt[3]{1,6:0,0002} = sqrt[3]{16000:2} = sqrt[3]{8000} =20[/latex] j) [latex] sqrt[3]{ frac{1}{4} } : sqrt[3]{ frac{2}{27} } = sqrt[3]{ frac{1}{4} : frac{2}{27} } = sqrt[3]{ frac{1}{4} * frac{27}{2} } = sqrt[3]{ frac{27}{8} } = frac{3}{2} [/latex] k) [latex] sqrt[3]{ frac{7}{25} } : sqrt[3]{ frac{5}{49} } = sqrt[3]{ frac{7}{25} : frac{5}{49} } = sqrt[3]{ frac{7}{25} * frac{49}{5} } = sqrt[3]{ frac{343}{125} } = frac{7}{5} [/latex] l) [latex] sqrt[3]{ frac{3}{16} } : sqrt[3]{-1 frac{1}{2} } = sqrt[3]{ frac{3}{16} : -(frac{3}{2} } )= sqrt[3]{ frac{3}{16} *( -frac{2}{3} )} = sqrt[3]{- frac{1}{8} }=- frac{1}{2} [/latex]
