Proszę bardzo o rozwiązanie zaznaczonych zadań z załącznika :D Z góry bardzo dziękuje :D :*

z. 3.87. a) [latex]frac{sqrt{2}+1}{(sqrt{2}-1)(sqrt{2}+1)} - sqrt{2}=sqrt{2}+1-sqrt{2} = 1 [/latex] b) [latex]frac{(sqrt{3}-2)(sqrt{3}-2)}{(sqrt{3}+2)(sqrt{3}-2)}-frac{12sqrt{3}}{3}=frac{3-2sqrt{3}-2sqrt{3}+4}{3-4}-4sqrt{3}=frac{7-4sqrt{3}}{-1}-4sqrt{3}=4sqrt{3}-7-4sqrt{3}=-7[/latex] d)[latex]frac{3-sqrt{6}}{(3+sqrt{6})(3-sqrt{6})}+frac{3+sqrt{6}}{(3-sqrt{6})(3+sqrt{6})}=frac{3-sqrt{6}}{9-6}+frac{3+sqrt{6}}{9-6}=frac{3-sqrt{6}+3+sqrt{6}}{3}=frac{6}{3}=2[/latex] e) [latex]frac{(sqrt{7}+sqrt{5})(sqrt{7}+sqrt{5})}{(sqrt{7}-sqrt{5})(sqrt{7}+sqrt{5})}+frac{(sqrt{7}-sqrt{5})(sqrt{7}-sqrt{5})}{(sqrt{7}+sqrt{5})(sqrt{7}-sqrt{5})}=frac{7+sqrt{35}+sqrt{35}+5}{7-5}+frac{7-sqrt{35}-sqrt{35}+5}{7-5}=frac{12+2sqrt{35}}{2}+frac{12-2sqrt{35}}{2}=6+sqrt{35}+6-sqrt{35} = 12[/latex] f)    [latex]frac{(sqrt{6}-sqrt{3})(sqrt{6}-sqrt{3})}{(sqrt{6}+sqrt{3})(sqrt{6}-sqrt{3})}-frac{(sqrt{3}+sqrt{6})(sqrt{3}+sqrt{6})}{(sqrt{3}-sqrt{6})(sqrt{3}+sqrt{6})}=frac{6-sqrt{18}-sqrt{18}+3}{6-3}-frac{3+sqrt{18}+sqrt{18}+6}{3-6}=frac{9-2sqrt{18}}{3}-frac{9+2sqrt{18}}{-3}=frac{9-2sqrt{18}}{3}+frac{9+2sqrt{18}}{3}=frac{18}{3}=6[/latex]   z3.89 f) (⁷/₆)⁻³ * (³/₇)⁻³  = (⁶/₇ * ⁷/₃)³ = 2³ = 8 g) (2,8)⁻⁴ * (⁵/₁₄)⁻⁴ = (¹⁰/₂₈)⁴ * (¹⁴/₅)⁴ = (¹⁰/₂₈ * ¹⁴/₅)⁴ = 2⁴ = 16 h) (¹⁶/₃)⁻³* ( ⁷⁵/₁₀₀)⁻³= (³/₁₆*⁴/₃)³ = (¼)³ = ¹/₆₄   z 3.110   a) [latex]frac{2^{5}*sqrt[4]{16}:sqrt[5]{32}}{{(2^{6})^{-frac{3}{4}}}*sqrt[3]{8^{5}}}=frac{2^{5}*2:2}{2^{5frac{1}{4}}*2^{5}} = 2^{5} : 2^{10frac{1}{4} =2^{-5frac{1}{4}[/latex] b) [latex]frac{12sqrt{32^{2}}+2^{8}}{2^{frac{1}{3}}*2^{frac{2}{3}}+2}=frac{12*2^{5}+2^{8}}{2+2}=frac{12*2^{5}+2^{8}}{2^{2}}= 3*2^{3}+2^{6}[/latex]   z3.111 a)    [latex]frac{5^{frac{2}{3}}*5^{-5}:5^{2}*5^{frac{1}{12}}}{5*5^{frac{3}{4}}}=frac{5^{-4frac{1}{3}}:5^{2}*5^{frac{1}{12}}}{5^{1frac{3}{4}}}=frac{5^{-6frac{4}{12}}*5^{frac{1}{12}}}{5^{1frac{3}{4}}}=5^{-6frac{3}{12}} : 5^{frac{5}{4}} = 5^{-6frac{1}{4}} : 5^{frac{5}{4}} = 5^{-7frac{1}{2}[/latex] b)  załącznik.   z. 3112 załączniki... i gdyby cios bylo nie tak to pisz ;) moglam zrobic bledyч