`\sqrt((\sqrt(5)-3)^(2))-\sqrt(5*(-3)^(2))-4\sqrt(14-6\sqrt(5))`

Đáp án:

`\sqrt{(\sqrt5-3)^2}-\sqrt{5.(-3)^2}-4\sqrt{14-6\sqrt5}=-9`

Giải thích các bước giải:

 `\sqrt{(\sqrt5-3)^2}-\sqrt{5.(-3)^2}-4\sqrt{14-6\sqrt5}`

`=|3-\sqrt5|-\sqrt{5.3^2}-4\sqrt{9-6\sqrt5+5}`

`=3-\sqrt5-|3|\sqrt5-4\sqrt{3^2-2.3.\sqrt5+(\sqrt5)^2}`

`=3-\sqrt5-3\sqrt5-4\sqrt{(3-\sqrt5)^2}`

`=3-\sqrt5-3\sqrt5-4.|3-\sqrt5|`

`=-4\sqrt5+3-4(3-\sqrt5)`

`=-4\sqrt5+3-12+4\sqrt5`

`=3-12`

`=-9`

Vậy  `\sqrt{(\sqrt5-3)^2}-\sqrt{5.(-3)^2}-4\sqrt{14-6\sqrt5}=-9`