`(3+2sqrt(3))/(sqrt(3))+(2+sqrt(2))/(sqrt(2)+1)-(sqrt(3)+2)`

Đáp án : ` \sqrt2`

Giải thích các bước giải :

`\frac{3 + 2\sqrt3}{\sqrt3} + \frac{2 + \sqrt2}{\sqrt2 + 1 } – ( \sqrt3 + 2 )`

`= \frac{ ( \sqrt3 )^2 + 2\sqrt3 }{ \sqrt3} + \frac{ ( \sqrt2)^2 + \sqrt2 }{ \sqrt2 + 1 } – ( \sqrt3 + 2 )`

`= \frac{ \sqrt3 ( \sqrt3 + 2 )}{\sqrt3} + \frac{\sqrt2( \sqrt2 + 1 )}{ \sqrt2 + 1 } – ( \sqrt3 + 2 )`

`= \sqrt3 + 2 + \sqrt2 – \sqrt3 – 2`

`= \sqrt2 `