od a) do d) :
[tex]a] \ 5\sqrt3=\sqrt{5^2}\cdot\sqrt3}=\sqrt{25\cdot3}=\sqrt{75}\\\\b] \ 7\sqrt2=\sqrt{7^2}\cdot\sqrt2=\sqrt{49\cdot2}=\sqrt{98}\\\\c] \ 6\sqrt{\frac{5}{6}}=\sqrt{6^2}\cdot\sqrt{\frac{5}{6}}=\sqrt{36\cdot\frac{5}{6}}=\sqrt{30}\\\\d] \ \frac{1}{2}\sqrt{12}=\sqrt{(\frac{1}{2})^2}\cdot\sqrt{12}=\sqrt{\frac{1}{4}\cdot12}=\sqrt3[/tex]
od e) do h)
[tex]e] \ 0,1\sqrt{2000}=\sqrt{0,1^2}\cdot\sqrt{2000}=\sqrt{0,01\cdot2000}=\sqrt{20}\\\\f] \ 4\sqrt[3]{\frac{3}{32}}=\sqrt[3]{4^3}\cdot\sqrt[3]{\frac{3}{32}}=\sqrt[3]{64\cdot\frac{3}{32}}=\sqrt[3]6\\\\g] \ 0,2\sqrt[3]5=\sqrt[3]{0,2^3}\cdot\sqrt[3]{50}=\sqrt[3]{0,008\cdot50}=\sqrt[3]{0,4}\\\\h] \ 0,3\sqrt{40}=\sqrt{0,3^2}\cdot\sqrt{40}=\sqrt{0,09\cdot40}=\sqrt{3,6}[/tex]
