Вычислите 2sin 5π/4+ctg π/6.

\[2\sin\frac{5\pi}{4} + ctg\frac{\pi}{6} =\]

\[= 2 \cdot \left( - \frac{\sqrt{2}}{2} \right) + \sqrt{3} =\]

\[= - \sqrt{2} + \sqrt{3} = \sqrt{3} - \sqrt{2}.\]