`\sqrt{2} + \sqrt{8} + \sqrt{50}`
`= \sqrt{2} + 2\sqrt{2} + 5\sqrt{2}`
`= (\sqrt{2} + 2\sqrt{2}) + 5\sqrt{2}`
`= 3\sqrt{2} + 5\sqrt{2}`
`= 8\sqrt{2}`
_______________________
`4\sqrt{3} + \sqrt{27} - \sqrt{45} + \sqrt{5}`
`= 4\sqrt{3} + 3\sqrt{3} - 3\sqrt{5} + \sqrt{5}`
`= (4\sqrt{3} + 3\sqrt{3}) - (3\sqrt{5} + \sqrt{5})`
`= 7\sqrt{3} - 4\sqrt{5}`
`= - 4\sqrt{5} + 7\sqrt{3}`