$$\sqrt{32} + \sqrt{45} - \sqrt{2}(1+\sqrt{10})$$
$$\begin{align}& \sqrt{32} + \sqrt{45} - \sqrt{2}(1+\sqrt{10})\\&= 4\sqrt{2} + 3\sqrt{5} - \sqrt{2} - 2\sqrt{5}\\&= 3\sqrt{2} + \sqrt{5}\end{align}$$