[latex] frac{ sqrt{5-2sqrt{6}} }{( sqrt[4]{3})^{2} - (sqrt[4]{2})^{2} } = frac{ sqrt{5-2sqrt{6}}}{3^{frac{2}{4}}-2^{frac{2}{4}}} = frac{ sqrt{5-2sqrt{6}}}{3^{frac{1}{2}}-2^{frac{1}{2}}} = frac{ sqrt{5-2sqrt{6}}}{sqrt{3}-sqrt{2}} * frac{sqrt{3}+sqrt{2}}{sqrt{3}+sqrt{2}} [/latex][latex] frac{sqrt{(5-2sqrt{6})*3}+sqrt{(5-2sqrt{6})*2}}{3-2} = sqrt{15-6sqrt{6}} + sqrt{10-4sqrt{6}} [/latex][latex]sqrt{6-6sqrt{6}+9} + sqrt{4-4sqrt{6}+6} = sqrt{(sqrt{6}-3)^{2}}+sqrt{(2-sqrt{6})^{2}} [/latex][latex]|sqrt{6}-3| + |2-sqrt{6}| = 3-sqrt{6}+sqrt{6}-2 = 1[/latex] +załącznik
Oblicz x jeżeli: x= [latex] frac{ sqrt{48}- sqrt{x} 32 }{ (sqrt[4]{3}+ sqrt[4]{2})( sqrt[4]{3}- sqrt[4]{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...
1)[latex]( frac{1}{2} sqrt{3} - 4 sqrt{5} ) ^{2} [/latex] 2)[latex]( sqrt{2} -5)( sqrt{2} +5)[/latex] 3)[latex]( sqrt{3} - sqrt{2} )( sqrt{3x} + sqrt{2} )[/latex] 4)[latex](3 sqrt{5} +4)(3 sqrt{5} -4)[/latex] oblicz :...
Pomóżcie błagam ;/ Daje naj Oblicz: 1. ([latex] frac{1}{ sqrt{5} - sqrt{6} } [/latex] + [latex] frac{1}{ sqrt{5} - 2 }) : (1 + frac{ sqrt{6} }{2} [/latex] ) 2. [latex] frac{1}{2 (1+ sqrt{2}) } + frac{1}{2 (1- sqrt{2}) }[/latex]...
Oblicz x: [latex] frac{x+5,5}{14} (4+ sqrt{2} )= frac{( sqrt[3]{3}- sqrt[3]{2} )( sqrt[3]{9}+ sqrt[3]{6}+ sqrt[3]{4} )}{ 8^{ frac{2}{3} } - 2^{ frac{1}{2} } } [/latex]...
