Đáp án:
`d)\sqrt{24+8sqrt5}+\sqrt{9-4sqrt5}`
`=\sqrt{20+2.2\sqrt5.2+4}+\sqrt{5-2.2.sqrt5+4}`
`=sqrt{(2\sqrt5+4)^2}+\sqrt{(\sqrt5-2)^2}`
`=|2\sqrt5+4|+|\sqrt5-2|`
`=2\sqrt5+4+sqrt5-2`
`=2+3\sqrt5`
`g)(\sqrt3-sqrt2)\sqrt{5+2\sqrt6}`
`=\sqrt{(\sqrt3-\sqrt2)^2(5+2\sqrt6)}`
`=\sqrt{(5-2\sqrt6)(5+2\sqrt6)}`
`=\sqrt{25-24}=1.`