Question

Tính và rút gọn

\(\sqrt{\left(2-\sqrt{2}\right)^2}+\sqrt{\left(3-\sqrt{12}\right)^2}\)

Answer 1

 `\sqrt{(2-\sqrt{2})^2}+\sqrt{(3-\sqrt{12})^2}`

`= |2-\sqrt{2}|+|3-\sqrt{12}|`

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

`= 2-\sqrt{2}+\sqrt{12}-3`

`= -1-\sqrt{2}+\sqrt{12}`

`= -1-\sqrt{2}+\sqrt{4 .3}`

`= -1-\sqrt{2}+ 2\sqrt{3}`

Answer 2

\(=\left|2-\sqrt{2}\right|+\left|3-\sqrt{12}\right|=2-\sqrt{2}+\sqrt{12}-3\)

\(=-1-\sqrt{2}+2\sqrt{3}\)