[latex]6^{sqrt{3}}cdot3^{1-sqrt{3})}cdot2^{-sqrt{3}}=(2cdot3)^{sqrt{3}}cdotfrac{3}{3^{sqrt{3}}}cdotfrac{1}{2^{sqrt{3}}}=frac{3^{sqrt{3}}cdot2^{sqrt{3}}cdot3}{3^{sqrt{3}}cdot2^{sqrt{3}}}=3[/latex] [latex]4^{pi+3}cdot3^{pi}:12^{pi}=frac{4^3cdot4^{pi}cdot3^{pi}}{(4cdot3)^{pi}}=frac{64cdot4^{pi}cdot3^{pi}}{4^{pi}cdot3^{pi}}=64[/latex]
Oblicz: 1) [latex] sqrt{13-4 sqrt{3} } - sqrt{28+6 sqrt{3} } =[/latex] 2) [latex] sqrt{11-4 sqrt{7} } - sqrt{29-4 sqrt{7} } =[/latex] jest to zad 3.89 ze str. 84 c) i d) podr pazdro, matma 1 liceum...
1) Oblicz: [latex](1+ 2sqrt{3})^2 - ( sqrt{3}-2)^2+(1- sqrt{7} )(1+ sqrt{7}) [/latex] Wynik: [latex] 8sqrt{3} [/latex] 2) Oblicz(skrócone mnożenie): [latex]( sqrt{3-2 sqrt{2} } - sqrt{3+2 sqrt{2} } )^2[/latex] Wynik: 4...
1. Oblicz pole deltoidu o przekątnych: a) [latex] sqrt{27} i sqrt{3} [/latex] b) [latex] sqrt[3]{24} i sqrt[3]{9} [/latex] 2. Oblicz: 7x[latex] sqrt{216} [/latex] x [latex] sqrt{36} [/latex]...
Oblicz 1. [latex](3- sqrt{2} )^2+4(2- sqrt{2} )[/latex] 2.[latex] frac{5 +sqrt{2} }{5 -sqrt{2} } [/latex] 3.[latex](2-3 sqrt{2} )^2[/latex] 4.Liczba odwrotna do liczby [latex] sqrt{2} -1 [/latex] w postaci [latex]a sqrt{2} +b[/latex]...
zad Oblicz: c) [latex] sqrt{ sqrt{7 } - sqrt{3} } [/latex] x [latex] sqrt{ sqrt{7}+ sqrt{3} } [/latex] d) [latex] sqrt{4- 2sqrt{3} } [/latex] x [latex] sqrt{4+2sqrt{3} } [/latex] x- znaczy razy...
