giúp mình với bài hơi dài

Đáp án+Giải thích các bước giải:

1)

`2\sqrt5-\sqrt(125)-\sqrt(80)+\sqrt(605)`
`=2\sqrt5-\sqrt(5^2 .5)-\sqrt(4^2 .5)+\sqrt(11^2 .5)`
`=2\sqrt5-5\sqrt(5)-4\sqrt(5)+11\sqrt(5)`
`=(2-5-4+11)\sqrt(5)=4\sqrt5`

 2)

`(10+2\sqrt10)/(\sqrt5+\sqrt2)+8/(1-\sqrt5)`
`=(\sqrt(20)(\sqrt5+\sqrt2))/(\sqrt5+\sqrt2)+(8(1+\sqrt5))/(1^2-(\sqrt5)^2)`
`=\sqrt(2^2 .5)+(8(1+\sqrt5))/(1-5)`
`=2\sqrt(5)-2(1+\sqrt5)`
`=2\sqrt(5)-2-2\sqrt5`
`=-2`

3)

`\sqrt(15-\sqrt(216))+\sqrt(33-12\sqrt6)`
`=\sqrt(15-\sqrt(6^2 .6))+\sqrt(33-12\sqrt6)`
`=\sqrt(9+6-6\sqrt(6))+\sqrt(24+9-12\sqrt6)`
`=\sqrt((3-\sqrt6)^2)+\sqrt((2\sqrt6-3)^2)`
`=|3-\sqrt6|+|2\sqrt6-3|`
`=3-\sqrt6+2\sqrt6-3`
`=\sqrt6`

4)

`(2\sqrt8-\sqrt(12))/(\sqrt(18)-\sqrt(48))-(\sqrt5+\sqrt(27))/(\sqrt(30)+\sqrt(162))`
`=(2(\sqrt8-\sqrt3))/(-\sqrt6(\sqrt8-\sqrt3))-(\sqrt5+\sqrt(27))/(\sqrt6(\sqrt5+\sqrt(27)))`
`=(-2-1)/(\sqrt6)`
`=(-3\sqrt6)/((\sqrt6)^2)`
`=(-3\sqrt6)/(6)`
`=(-\sqrt6)/(2)`

5)

`2\sqrt(16/3)-3\sqrt(1/27)-6\sqrt(4/75)`
`=2\sqrt(4^2)/\sqrt(3)-3\sqrt(1)/\sqrt(3^2. 3)-6\sqrt(2^2)/\sqrt(5^2 .3)`
`=(2.4)/\sqrt(3)-3/(3\sqrt(3))-(6.2)/(5\sqrt3)`
`=(8)/\sqrt(3)-3/(3\sqrt(3))-(12)/(5\sqrt3)`
`=(5(8-1)-12)/(5\sqrt(3))`
`=(23\sqrt3)/(5(\sqrt(3))^2)`
`=(23\sqrt3)/(15)`

6)

`\sqrt((2-\sqrt3)/(2+\sqrt3))+\sqrt((2+\sqrt3)/(2-\sqrt3))`
`=\sqrt(2-\sqrt3)/\sqrt(2+\sqrt3)+\sqrt(2+\sqrt3)/\sqrt(2-\sqrt3)`
`=((\sqrt(2-\sqrt3))^2+(\sqrt(2+\sqrt3))^2)/\sqrt((2+\sqrt3)(2-\sqrt3))`
`=(4)/\sqrt(4-3)=4`