1. Wszystko pod pierwiastkiem 0,25 x 225= 2. Wszystko pod pierwiastkiem sześciennych 27 x 64 = 3. Pierwiastek z 5 x pierwiastek z 20= 4. Pierwiastek szescienny z -2 x pierwiastek szescienny z 32= Zad 2 Połącz wyrażenia 1. 2pierwiastki Z 5 +pierwias

Zad. 1 1. [latex]sqrt{0,25 cdot 225} = sqrt{frac{25}{100} cdot 225} = sqrt{frac{25 cdot 9}{4}} =frac{5 cdot 3}{2}= frac{15}{2} =7 frac{1}{2}=7,5[/latex] 2. [latex]sqrt[3]{27 cdot 64} =sqrt[3]{3^3 cdot 4^3} =3 cdot 4 = 12[/latex] 3. [latex]sqrt{5} cdot sqrt{20} = sqrt{5 cdot 20} = sqrt{100} =10[/latex] 4. [latex] sqrt[3]{-2} cdot sqrt[3]{32} = sqrt[3]{-2 cdot 32} = sqrt[3]{-64} = sqrt[3]{(-4)^3}=-4[/latex] Zad. 2 1 - D [latex]2 sqrt{5} + sqrt{5} =3 sqrt{5}[/latex] 2 - D [latex]sqrt{5 cdot 9} =3 sqrt{5}[/latex] 3 - A [latex]sqrt{9 - 4} = sqrt{5}[/latex] 4 - D [latex] sqrt{3} cdot sqrt{15}= sqrt{3 cdot 15} = sqrt{45} = sqrt{9 cdot 5} =3 sqrt{5} [/latex] 5 - E [latex]sqrt{3 + 15} = sqrt{18} = sqrt{9 cdot 2} = 3sqrt{2}[/latex]   Zad. 3 1. [latex]sqrt{0,125} cdot sqrt{32} = sqrt{0,125 cdot 32} = sqrt{4=2[/latex]   2. [latex]sqrt[3]{375} : sqrt[3]{3} = sqrt[3]{375 : 3} = sqrt[3]{125}= sqrt[3]{5^3} =5 [/latex] 3. [latex]P = a^2 \ a = 2 sqrt{3} cm o P = (2 sqrt{3})^2=4 cdot 3 = 12 cm^2[/latex] 4. [latex]P = a^2 \ P = 96 cm^2 o a^2 = 96 o a= sqrt{96} = sqrt{16 cdot 6}= 4sqrt{6} cm \\ a = sqrt{6} cm o P = (sqrt{6})^2= 6 cm^2[/latex] Zad. 4 [latex]sqrt[3]{-343} = - 7 extless 7 =sqrt[3]{343} \ sqrt[3]{-343} extless sqrt[3]{343}[/latex] PRAWDA Zad. 5 1. [latex]sqrt{frac{2}{32}}=sqrt{frac{1}{16}}= frac{1}{4}[/latex] 2. [latex]sqrt[3]{frac{3}{375}} =sqrt[3]{frac{1}{125}} = frac{1}{5}[/latex] 3. [latex]sqrt{frac{8}{50}} =sqrt{frac{4}{25}} = frac{2}{5}[/latex] 4. [latex]sqrt[3]{-frac{3}{81}} =sqrt[3]{-frac{1}{27}} =- frac{1}{3}[/latex]