Wykonaj działania: a) [latex]frac{sqrt{81} + sqrt[3]{216}}{sqrt{81}- sqrt[3]{216}}[/latex] b) [latex]frac{sqrt{1,44} + sqrt{0,09}-sqrt{0,25}}{sqrt{0,16}+sqrt{0,36}}[/latex] c) [latex]frac{sqrt{1frac{7}{9} } + sqrt[3]{-0,064}-sqrt{0,25}}{0,4+1frac{2}{3}

a) (9+4)/(9-4)=13/5=2,6 b) (1,2+0,3-0,5)/(0,4+0,6)=1/1=1 W dzialaniach na ulamkach dziesietnych wlaczamy kalkulator. c) (√(16/9)-0,4-0,5)/(4/10+5/3)=(4/3-9/10)/(2/5+5/3)= (40-27)/30 : (6+25)/15=13/30*15/31=13/2*1/31=13/62

[latex]a) frac{sqrt{81} + sqrt[3]{216}}{sqrt{81}- sqrt[3]{216}}= frac{sqrt{9^2} + sqrt[3]{6^3}}{sqrt{9^2}- sqrt[3]{6^3}}= frac{9+6}{9- 6}=frac{15}3=5\\b) frac{sqrt{1,44} + sqrt{0,09}-sqrt{0,25}}{sqrt{0,16}+sqrt{0,36}}=frac{sqrt{(1,2)^2} + sqrt{(0,3)^2}-sqrt{(0,5)^2}}{sqrt{(0,4)^2}+sqrt{(0,6)^2}}=frac{1,2 + 0,3-0,5}{0,4+0,6}=frac{1}{1}=1[/latex] [latex]c) frac{sqrt{1frac{7}{9} } + sqrt[3]{-0,064}-sqrt{0,25}}{0,4+1frac{2}{3}}= frac{sqrt{frac{16}{9} } + sqrt[3]{(-0,4)^3}-sqrt{(0,5)^2}}{frac2{5}+1frac{2}{3}}= frac{frac{4}{3} -0,4-0,5}{frac6{15}+1frac{10}{15}}=\\=frac{frac43-frac9{10}}{1frac{16}{15}}=frac{frac{40}{30}-frac{27}{30}}{frac{31}{15}}=frac{13}{30}cdotfrac{15}{31}=frac{13}{2}cdotfrac{1}{31}=frac{13}{62}[/latex]