Bài `1:`
`a)2\sqrt{17}=\sqrt{2^2 .17}=\sqrt{68}`
`3\sqrt{8}=\sqrt{3^2 .8}=\sqrt{72}`
Vì `68 < 72=>2\sqrt{17} < 3\sqrt{8}`
`b)`
`@` Với `x >= 0,x \ne 1` có:
`A=\sqrt{x}/[1-\sqrt{x}]+\sqrt{x}/[\sqrt{x}+1]+[3-\sqrt{x}]/[x-1]`
`A=[-\sqrt{x}(\sqrt{x}+1)+\sqrt{x}(\sqrt{x}-1)+3-\sqrt{x}]/[(\sqrt{x}-1)(\sqrt{x}+1)]`
`A=[-x-\sqrt{x}+x-\sqt{x}+3-\sqrt{x}]/[(\sqrt{x}-1)(\sqrt{x}+1)]`
`A=3/[\sqrt{x}+1]`
`@x=8-2\sqrt{7}=(\sqrt{7}-1)^2`
`=>\sqrt{x}=|\sqrt{7}-1|=\sqrt{7}-1`
Thay `\sqrt{x}=\sqrt{7}-1` vào `A` có: `A=3/[\sqrt{7}-1+1]=[3\sqrt{7}]/7`