Oblicz \frac{3^{52}-3^{51}}{3^{49}}\cdot \sqrt{12}=
źródło:
{\frac{3^{52}-3^{51}}{3^{49}}\cdot \sqrt{12}=\frac{3^{49}\cdot 3^3-3^{49}\cdot 3^2}{3^{49}}\cdot \sqrt{4\cdot 3}=\frac{3^{49}(3^3-3^2)}{3^{49}}\cdot 2\sqrt3=(3^3-3^2)\cdot 2\sqrt3=18\cdot 2\sqrt3=36\sqrt3}