Đáp án+Giải thích các bước giải:
`a) A = (15\sqrt{200} - 3\sqrt{450} + 2\sqrt{50}) : \sqrt{10}`
`= (150\sqrt{2} - 45\sqrt{2} + 10\sqrt{2}) : \sqrt{10}`
`= 115\sqrt{2} : \sqrt{10}`
`= 23\sqrt{5}`
`b) B = (2\sqrt{3} - 1)² + \frac{1}{4}\sqrt{48} - \frac{2}{\sqrt{3} - 1}`
`= 12 - 4\sqrt{3} + 1 + \sqrt{3} - \frac{2(\sqrt{3} + 1)}{(\sqrt{3} + 1)(\sqrt{3} - 1)}`
`= 12 - 4\sqrt{3} + 1 + \sqrt{3} - \sqrt{3} - 1`
`= 12 - 4\sqrt{3}`
`c) C = (\frac{2\sqrt{3} - \sqrt{6}}{\sqrt{8} - 2} - \frac{\sqrt{216}}{3}) . \frac{1}{\sqrt{6}}`
`= (\frac{\sqrt{6}(\sqrt{2} - 1)}{2(\sqrt{2} - 1)} - 2\sqrt{6}) . \frac{1}{\sqrt{6}}`
`= (\frac{\sqrt{3}}{\sqrt{2}} - 2\sqrt{6}) . \frac{1}{\sqrt{6}}`
`= \frac{1}{2} - 2`
`= \frac{-3}{2}`
