[tex]\sqrt{3,6} \cdot \sqrt{4\frac{2}{3} } \cdot \sqrt{1,4} \cdot \sqrt{5\dfrac{1}{3} }=\sqrt{3,6\cdot 4\dfrac{2}{3} \cdot 1,4 \cdot 5\dfrac{1}{3} } =\sqrt{\dfrac{36}{10} \cdot \dfrac{14}{3} \cdot \dfrac{14}{10} \cdot \dfrac{16}{3} } =\sqrt{\dfrac{6^{2} \cdot 14^{2} \cdot 4^{2} }{10^{2} \cdot 3^{2} } } =\dfrac{6\cdot 14 \cdot 4}{10\cdot 3} =\dfrac{336}{30} =\dfrac{112}{10} =11,2[/tex][tex]\sqrt{3,61} \cdot \sqrt[3]{0,125} +\sqrt[3]{64,8} \div \sqrt[3]{0,3} =\sqrt{\dfrac{361}{100} } \cdot \sqrt[3]{\dfrac{1}{8} } +\sqrt[3]{\dfrac{648}{10} \div \dfrac{3}{10} } =\sqrt{\dfrac{19^{2} }{10^{2} } } \cdot \sqrt[3]{\dfrac{1^{3} }{2^{3} } } +\sqrt[3]{\dfrac{648}{10} \cdot \dfrac{10}{3} } =\dfrac{19}{10} \cdot \dfrac{1}{2} +\sqrt[3]{216} =\dfrac{19}{20} +\sqrt[3]{6^{3} } =\dfrac{19}{20} +6=6\dfrac{19}{20} =6\dfrac{95}{100} =6,95[/tex]
korzystam ze wzorów:
[tex]\sqrt[n]{x} \div \sqrt[n]{y} =\sqrt[n]{x\div y }=\sqrt[n]{\dfrac{x}{y} } \\\\\sqrt[n]{x} \cdot \sqrt[n]{y} =\sqrt[n]{x\cdot y } \\\\\sqrt[n]{x^{n} } =x^{n\cdot \frac{1}{n} } =x[/tex]
