[latex]a)\-frac{10 sqrt[3]{-12} }{2} - 4 ( sqrt[3]{12} -5)=frac{-10 sqrt[3]{-12}- 8 ( sqrt[3]{12} -5) }{2}=\ \=frac{-10 sqrt[3]{-12}- 8sqrt[3]{12}+40 }{2}=frac{10 sqrt[3]{12}- 8sqrt[3]{12}+40 }{2}=\ \=frac{2 sqrt[3]{12}+40 }{2}=frac{2( sqrt[3]{12}+20 )}{2}=sqrt[3]{12}+20[/latex] [latex]b)\sqrt{3 ^{3} } - frac{1}{5} sqrt{75} + 2 sqrt{48}=sqrt{9*3 } - frac{1}{5} sqrt{25*3} + 2 sqrt{16*3} =\ \=3sqrt{3 } - frac{1}{5}*5 sqrt{3} + 2*4 sqrt{3} =3sqrt{3 } - sqrt{3} + 8 sqrt{3} = 10sqrt{3}[/latex]
Zapisz w prostszej postaci : a) [latex]sqrt{2+sqrt{2}} * sqrt{2(2-sqrt{2})}[/latex] b)[latex]frac{1}{sqrt{5-1}} + frac{1-sqrt{5}}{4}[/latex]...
1. Zapisz w prostszej postaci: [latex] frac{10 sqrt[3]{-12} }{2} -4( sqrt[3]{12} - 5) [/latex] [latex] sqrt{ 3^{3} } - frac{1}{5} sqrt{75} + 2 sqrt{48} [/latex] 2. Usuń niewymierność z mianownika ułamka [latex] frac{3 sqrt{2} +5 }{2 sqrt{3} }...
Zapisz w prostszej postaci. a)[latex]frac{3sqrt{5}-sqrt{20}}{sqrt{12}}[/latex] b)[latex](sqrt{10}-2sqrt{5})*sqrt{10}[/latex] c)[latex](4sqrt{3}+3sqrt{2})*sqrt{6}[/latex] d)[latex]frac{sqrt{40}-sqrt{160}}{sqrt{90}}[/latex] Potrzebuje jak najszybci...
Zapisz wyrażenia w prostszej postaci: a) [latex]sqrt{32} +5sqrt{2} - sqrt{200} + sqrt{2}[/latex] b) [latex]frac{sqrt{2} + 3sqrt{8}- sqrt{18}}{sqrt{2}}[/latex] c) [latex]sqrt{24} * sqrt{3}[/latex] d) [latex]4sqrt{3} + sqrt{27}[/latex]...
Zapisz w prostszej postaci: [latex]frac{5a*2a^{2}}{20} \ frac{6x^{2}y}{3y} \ frac{15m^{3}n^{2}}{10n} \ frac{3bc}{bc^{3}} \ frac{s^{3}t^{2}sqrt{2}}{st} \ frac{2n^{2}*6v^{3}}{4n^{2}v} \ frac{2p^{3}*9q^{4}}{90p^{2}q^{2}}[/latex]...
