(d) $\quad$ Expand $\sqrt{2}(5+\sqrt{8})$

Step 1 ：\(\sqrt{2}(5+\sqrt{8}) = \sqrt{2} \times 5 + \sqrt{2} \times \sqrt{8}\)

Step 2 ：\(= 5\sqrt{2} + \sqrt{16}\)

Step 3 ：\(= 5\sqrt{2} + 4\)

Step 4 ：\(\boxed{5\sqrt{2} + 4}\)