`e) (3 + \sqrt{8})\sqrt{17 - 12\sqrt{2}}`

`= (3 + 2\sqrt{2})\sqrt{(3 - 2\sqrt{2})^2}`

`= (3 + 2\sqrt{2})|3 - 2\sqrt{2}|`

Vì `3 - 2\sqrt{2} > 0` nên `|3 - 2\sqrt{2}| = 3 - 2\sqrt{2}`

`= (3 + 2\sqrt{2})(3 - 2\sqrt{2})`

`= 3^2 - (2\sqrt{2})^2`

`= 9 - 8`

`= 1`

`d) 3\sqrt{27} - 2\sqrt{75} - 5\sqrt{12} + \sqrt{363}`

`= 3 * 3\sqrt{3} - 2 * 5\sqrt{3} - 5 * 2\sqrt{3} + 11\sqrt{3}`

`= 9\sqrt{3} - 10\sqrt{3} - 10\sqrt{3} + 11\sqrt{3}`

`= 0`

`g) \sqrt{2} * \sqrt{50} - \sqrt{28} : \sqrt{7}`

`= \sqrt{2 * 50} - \sqrt{28 : 7}`

`= \sqrt{100} - \sqrt{4}`

`= 10 - 2`

`= 8`

`f) \sqrt{45} - \sqrt{5} - \sqrt{80} + \sqrt{20}`

`= 3\sqrt{5} - \sqrt{5} - 4\sqrt{5} + 2\sqrt{5}`

`= 0`

`i) (\sqrt{21} - \sqrt{7}) / (\sqrt{3} - 1) + \sqrt{(2 + \sqrt{7})^2} - 2\sqrt{7}`

`= \sqrt{7}(\sqrt{3} - 1) / (\sqrt{3} - 1) + |2 + \sqrt{7}| - 2\sqrt{7}`

Vì `2 + \sqrt{7} > 0` nên `|2 + \sqrt{7}| = 2 + \sqrt{7}`

`= \sqrt{7} + 2 + \sqrt{7} - 2\sqrt{7}`

`= 2`

`h) 2\sqrt{180} - 3/4 \sqrt{48} - \sqrt{80} + 0,2\sqrt{125}`

`= 2\sqrt{180} - 3/4  \sqrt{48} - \sqrt{80} + 1/5\sqrt{125}`

`= 2 * 6\sqrt{5} - 3/4 * 4\sqrt{3} - 4\sqrt{5} + 1/5 * 5\sqrt{5}`

`= 12\sqrt{5} - 3\sqrt{3} - 4\sqrt{5} + \sqrt{5}`

`= 9\sqrt{5} - 3\sqrt{3}`

`k) 2\sqrt{18} - (5\sqrt{2} - 1) - 1/2 \sqrt{8}`

`= 2 * 3\sqrt{2} - 5\sqrt{2} + 1 - 1/2 * 2\sqrt{2}`

`= 6\sqrt{2} - 5\sqrt{2} + 1 - \sqrt{2}`

`= 1`

`j) (2\sqrt{50} - 3\sqrt{32} + \sqrt{22}/\sqrt{11}) : \sqrt{2}/3`

`= (2 * 5\sqrt{2} - 3 * 4\sqrt{2} + \sqrt{2}) : \sqrt{2}/3`

`= (10\sqrt{2} - 12\sqrt{2} + \sqrt{2}) : \sqrt{2}/3`

`= (-\sqrt{2}) : (\sqrt{2}/3)`

`= (-\sqrt{2}) * (3/\sqrt{2})`

`= -3`

`b) \sqrt{(\sqrt{3} - 2)^2} - \sqrt{3}(\sqrt{3} + 5)`

`= |\sqrt{3} - 2| - (3 + 5\sqrt{3})`

Vì `\sqrt{3} - 2 < 0` nên `|\sqrt{3} - 2| = 2 - \sqrt{3}`

`= 2 - \sqrt{3} - 3 - 5\sqrt{3}`

`= -1 - 6\sqrt{3}`

`l) (\sqrt{6} - \sqrt{3}) / (\sqrt{2} - 1) - \sqrt{(1 - \sqrt{3})^2}`

`= \sqrt{3}(\sqrt{2} - 1) / (\sqrt{2} - 1) - |1 - \sqrt{3}|`

Vì `1 - \sqrt{3} < 0` nên `|1 - \sqrt{3}| = \sqrt{3} - 1`

`= \sqrt{3} - (\sqrt{3} - 1)`

`= \sqrt{3} - \sqrt{3} + 1`

`= 1`