Zadanie 1. Doprowadź wyrażenie do najprostszej postaci [latex] frac{4 sqrt{3}+ sqrt{27} }{ sqrt{12}} [/latex] Zadanie 2. Oblicz [latex] frac{ sqrt[3]{750}}{ sqrt[3]{-6} } + frac{ sqrt[3]{432}}{ sqrt[3]{-2} } - frac{ sqrt[3]{-320}}{ sqrt[3]{-5} } [/l

ZADANIE 1. [latex]frac{4sqrt3+sqrt{27}}{sqrt{12}}=frac{4sqrt3+sqrt{9cdot3}}{sqrt{4cdot3}}=frac{4sqrt3+3sqrt3}{2sqrt3}=frac{sqrt3(4+3)}{2sqrt3}=frac72[/latex] ZADANIE 2. [latex]a) frac{sqrt[3]{750}}{sqrt[3]{-6}}=sqrt[3]{-frac{750}{6}}=sqrt[3]{-125}=sqrt[3]{-5^3}=-5 \ b) frac{sqrt[3]{432}}{sqrt[3]{-2}}=sqrt[3]{-frac{432}{2}}=sqrt[3]{-216}=sqrt[3]{-6^3}=-6\ \ c) frac{sqrt[3]{-320}}{sqrt[3]{-5}}=sqrt[3]{frac{320}{5}}=sqrt[3]{64}=sqrt[3]{4^3}=4[/latex] ZADANIE 3. [latex]x=frac{2^{22}+2^{21}}{3cdot2^{11}}=frac{2^{21}(2+1)}{3cdot2^{11}}=frac{2^{21}}{2^{11}}+=2^{21-11}=2^{10}=1024[/latex]