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 :

[latex]1. (frac{1}{2}sqrt{3}-4sqrt{5})^{2}= (frac{1}{2}sqrt{3})^{2}-2*frac{1}{2}sqrt{3}*4sqrt{5}+(4sqrt{5})^{2}= \\=frac{3}4}-4sqrt{3*5}+16*5 = 0,75-4sqrt{15}+80 = 80,75-4sqrt{15}[/latex] [latex]2. (sqrt{2}-5)(sqrt{2}+5) = (sqrt{2})^{2}-5^{2}= 2-25 = -23[/latex] [latex]3. (sqrt{3}-sqrt{2})(sqrt{3}+sqrt{2}) = (sqrt{3})^{2}-(sqrt{2})^{2} = 3-2 = 1[/latex] [latex]4. (3sqrt{5}+4)(3sqrt{5}-4) = (3sqrt{5})^{2}-4^2} = 9*5-16 = 45-16 = 29[/latex]

1. Oblicz wartość wyrażenia: [latex] frac{ 5^{13}: ( 5^{6} * 5^{2}) }{ 5^{3} } [/latex] 2.Oblicz: [latex] sqrt{64} - sqrt[3]{-125} =[/latex] [latex] sqrt{ frac{1}{25} } + frac{ sqrt{36} }{3} [/latex] [latex] sqrt[3]{9 *sqrt{9} } [/latex] [latex]

1. Oblicz wartość wyrażenia: [latex] frac{ 5^{13}: ( 5^{6} * 5^{2}) }{ 5^{3} } [/latex] 2.Oblicz: [latex] sqrt{64} - sqrt[3]{-125} =[/latex] [latex] sqrt{ frac{1}{25} } + frac{ sqrt{36} }{3} [/latex] [latex] sqrt[3]{9 *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]...

OBLICZ Pilne!!! [latex] frac{4* frac{ sqrt{3} }{2}* (frac{ sqrt{2} }{2}) ^{2}+2 * (-frac{ sqrt{3} }{2}) }{- sqrt{3}* (-sqrt{3}) } [/latex] [latex] frac{2* (-frac{1}{2})* (-sqrt{3})*(-1) }{ -frac{1}{2}* frac{1}{2}* (-frac{ sqrt{3} }{2}) } [/latex]

OBLICZ Pilne!!! [latex] frac{4* frac{ sqrt{3} }{2}* (frac{ sqrt{2} }{2}) ^{2}+2 * (-frac{ sqrt{3} }{2}) }{- sqrt{3}* (-sqrt{3}) } [/latex] [latex] frac{2* (-frac{1}{2})* (-sqrt{3})*(-1) }{ -frac{1}{2}* frac{1}{2}* (-frac{ sqrt{3} }{2}) } [/late...

pierwiastki 24. oblicz. a) [latex] frac{ sqrt{32}+ sqrt{2} }{ sqrt{2} } [/latex] b) [latex] frac{ sqrt{27}- sqrt{12} }{ sqrt{3} } [/latex] c) [latex] sqrt{2} ( sqrt{8} } + sqrt{50} )[/latex]

pierwiastki 24. oblicz. a) [latex] frac{ sqrt{32}+ sqrt{2} }{ sqrt{2} } [/latex] b) [latex] frac{ sqrt{27}- sqrt{12} }{ sqrt{3} } [/latex] c) [latex] sqrt{2} ( sqrt{8} } + sqrt{50} )[/latex]...

Oblicz. a) [latex] 5^{ frac{5}{6} } * sqrt{5} * 5^{ -frac{4}{3} } [/latex] b) [latex] frac{ sqrt[3]{2} }{ sqrt{2} } * 2^{ frac{7}{6} } [/latex]

Oblicz. a) [latex] 5^{ frac{5}{6} } * sqrt{5} * 5^{ -frac{4}{3} } [/latex] b) [latex] frac{ sqrt[3]{2} }{ sqrt{2} } * 2^{ frac{7}{6} } [/latex]...