[tex]2\sqrt{6}\cdot\frac{1}{3}\sqrt{3} =2\cdot\frac{1}{3}\cdot\sqrt{6\cdot3} = \frac{2}{3}\cdot\sqrt{18} = \frac{2}{3}\cdot\sqrt{9\cdot2} = \frac{2}{3}\cdot\sqrt{9}\cdot\sqrt{2} = \frac{2}{3}\cdot3\cdot\sqrt{2}=2\sqrt{2}[/tex]
[tex]\frac{(5\sqrt{6})^{2}}{3}=\frac{5^{2}\cdot\sqrt{6^{2}}}{3}=\frac{25\cdot6}{3} = 25\cdot2 = 50[/tex]
Wyjaśnienie:
[tex]\sqrt[n]{a}\cdot \sqrt[n]{b} = \sqrt[n]{a\cdot b}\\\\(a\cdot b)^{n} = a^{n}\cdot b^{n}[/tex]
