Obliczenia
[tex]\sqrt2\cdot\sqrt5\cdot\sqrt3=\sqrt{2\cdot5\cdot3}=\sqrt{30}\\\\\sqrt[3]5\cdot\sqrt[3]5\cdot\sqrt[3]2=\sqrt[3]{5\cdot5\cdot2}=\sqrt[3]{50}\\\\\frac{\sqrt6\cdot\sqrt5}{\sqrt2}=\frac{\sqrt{6\cdot5}}{\sqrt2}=\frac{\sqrt{30}}{\sqrt2}=\sqrt{\frac{30}{2}}=\sqrt{15}\\\\\frac{\sqrt[3]{10}}{\sqrt[3]5\cdot\sqrt[3]5}=\frac{\sqrt[3]{10}}{\sqrt[3]{3\cdot5}}=\frac{\sqrt[3]{10}}{\sqrt[3]{15}}=\sqrt[3]{\frac{10}{15}}=\sqrt[3]{\frac{2}{3}}[/tex]
