√1/3 - √ ( √3 - 2 ) ² + 2/ √3 -1

1 câu trả lời

`\sqrt{1/3}-\sqrt{(\sqrt{3}-2)^2}+2/(\sqrt{3}-1)`

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

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

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

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

`=(\sqrt{3}+6\sqrt{3}-3)/3`

`=(7\sqrt{3}-3)/3`

 

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