Oblicz [latex] frac{12}{ sqrt{15}- sqrt{6} + sqrt{35} - sqrt{14} } [/latex]

odpowiedź w załączniku, mam nadzieję że chodziło o to bo więcej nie da się obliczyć

[latex] frac{12}{ sqrt{15} - sqrt{6} + sqrt{35} - sqrt{14} }= frac{12}{ sqrt{5*3} - sqrt{3*2} + sqrt{5*7} - sqrt{7*2} } \ \ = frac{12}{ sqrt{3}( sqrt{5} - sqrt{2}) + sqrt{7} (sqrt{5} - sqrt{2} )}= \ \ =frac{12}{( sqrt{5} - sqrt{2}) (sqrt{3} + sqrt{7})}* frac{( sqrt{5}+sqrt{2}) (sqrt{3} - sqrt{7})}{( sqrt{5} + sqrt{2}) (sqrt{3}-sqrt{7})} = \ \ [/latex] [latex]=frac{12( sqrt{5}+sqrt{2}) (sqrt{3} - sqrt{7})}{( sqrt{5} - sqrt{2})( sqrt{5}+sqrt{2})(sqrt{3} + sqrt{7}) (sqrt{3} - sqrt{7})}= \ \=frac{12( sqrt{5}+sqrt{2}) (sqrt{3} - sqrt{7})}{( 5- 2)( 3-7)} \ \ =frac{12( sqrt{5}+sqrt{2}) (sqrt{3} - sqrt{7})}{3(-4)}=frac{12( sqrt{5}+sqrt{2}) (sqrt{3} - sqrt{7})}{3(-4)} \ \=- ( sqrt{5}+sqrt{2}) (sqrt{3} - sqrt{7}) \ [/latex]

OBLICZ [latex] frac{ sqrt{ sqrt{484}- sqrt{2}* sqrt{8} } }{ sqrt{3( sqrt{3) }^{2} }- sqrt{11+ sqrt{196} } } [/latex] [latex](4* 3^{ frac{1}{2} } +2*11^{ frac{1}{2} }) ^{ frac{1}{2} } *(4* 3^{ frac{1}{2} } -2*11^{ frac{1}{2} }) ^{ frac{1}{2} }[/latex]

OBLICZ [latex] frac{ sqrt{ sqrt{484}- sqrt{2}* sqrt{8} } }{ sqrt{3( sqrt{3) }^{2} }- sqrt{11+ sqrt{196} } } [/latex] [latex](4* 3^{ frac{1}{2} } +2*11^{ frac{1}{2} }) ^{ frac{1}{2} } *(4* 3^{ frac{1}{2} } -2*11^{ frac{1}{2} }) ^{ frac{1}{2} }[/l...

Oblicz: a)[latex](sqrt{3}-sqrt{12}+sqrt{27})*sqrt{3}[/latex] b)[latex]sqrt{45}*sqrt{5}-sqrt[3]{2}*sqrt[3]{4}[/latex] c)[latex]sqrt1{frac{3}{4}:sqrt3{frac{15}{16}+sqrt[3]{5}*sqrt[3]{25}[/latex] * to znak mnożenia : to znak dzielenia

Oblicz: a)[latex](sqrt{3}-sqrt{12}+sqrt{27})*sqrt{3}[/latex] b)[latex]sqrt{45}*sqrt{5}-sqrt[3]{2}*sqrt[3]{4}[/latex] c)[latex]sqrt1{frac{3}{4}:sqrt3{frac{15}{16}+sqrt[3]{5}*sqrt[3]{25}[/latex] * to znak mnożenia : to znak dzielenia...

usun niewymiernosc z mianownika [latex] frac{3 sqrt{5} - sqrt{2} }{ sqrt{5} - sqrt{2} } =[/latex] oblicz: [latex] 5^{-3}*125 ^{ frac{2}{3} } *625 ^{ frac{5}{4} }= [/latex] [latex]2^{} :16 ^{- frac{3}{2} }*32 ^{1,2} =[/latex]

usun niewymiernosc z mianownika [latex] frac{3 sqrt{5} - sqrt{2} }{ sqrt{5} - sqrt{2} } =[/latex] oblicz: [latex] 5^{-3}*125 ^{ frac{2}{3} } *625 ^{ frac{5}{4} }= [/latex] [latex]2^{} :16 ^{- frac{3}{2} }*32 ^{1,2} =[/latex]...

Oblicz sumę[latex] frac{1}{ sqrt{1} sqrt{2} } + frac{1}{ sqrt{2} sqrt{3} } + frac{1}{ sqrt{3} sqrt{4} } +...+frac{1}{ sqrt{8} sqrt{9} } [/latex]

Oblicz sumę[latex] frac{1}{ sqrt{1} sqrt{2} } + frac{1}{ sqrt{2} sqrt{3} } + frac{1}{ sqrt{3} sqrt{4} } +...+frac{1}{ sqrt{8} sqrt{9} } [/latex]...

Oblicz: a) [latex] frac{(1+ sqrt{12})^2- (2- sqrt{3}) ( sqrt{3}-2) }{ (sqrt{8}-2)(2+2 sqrt{2}) } [/latex] b) [latex]( sqrt{2+ sqrt{3} } - sqrt{2- sqrt{3} })^2 [/latex]

Oblicz: a) [latex] frac{(1+ sqrt{12})^2- (2- sqrt{3}) ( sqrt{3}-2) }{ (sqrt{8}-2)(2+2 sqrt{2}) } [/latex] b) [latex]( sqrt{2+ sqrt{3} } - sqrt{2- sqrt{3} })^2 [/latex]...