[tex]\frac{12\cdot sin60^{o}\cdot cos60^{o}}{sin45^{o}\cdot tg45^{o}} = \frac{12\cdot\frac{\sqrt{3}}{2}\cdot\frac{1}{2}}{\frac{\sqrt{2}}{2}\cdot1} = \frac{\frac{12\sqrt{3}}{4}}{\frac{\sqrt{2}}{2}} = \frac{3\sqrt{3}}{\frac{\sqrt{2}}{2}} = 3\sqrt{3}\cdot\frac{2}{\sqrt{2}}=\frac{6\sqrt{3}}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}} =\frac{6\sqrt{3\cdot2}}{2} =3\sqrt{6}[/tex]
