Đáp án+Giải thích các bước giải:

`{(2024x + 2025y = 6073  ( 1 )),(2023x + 2026y = 6072  ( 2 )):}`

`( 1 ) ; ( 2 ) =>x- y = 1 => x = y + 1  ( 3 )`

`( 1 ) ; ( 3 ) => 2024(y + 1 ) + 2025y = 6073`

`=> 2024y + 2024 + 2025y = 6073`

`=> 4049y = 4049`

`=> y = 1  ( 4 )`

`( 3 ) ; ( 4 ) => x = 2`

` Vậy  ( x ; y ) = ( 2 ; 1 )`

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`\sqrt{(\sqrt{5}+2)/(\sqrt{5}-2)} + \sqrt{(\sqrt{5}-2)/(\sqrt{5}+2)} + \sqrt{-12\sqrt{5} + 29}  + \sqrt{80}`

`= ( \sqrt{5} + 2 )/(\sqrt{5 - 4} ) + (\sqrt{5} - 2 )/(\sqrt{5 - 4} ) + \sqrt{20 - 2 . 2\sqrt{5} . 3 + 9} + \sqrt{16 . 5}`

`= (\sqrt{5} + 2 )/1 + (\sqrt{5}-2)/1 + \sqrt{(2\sqrt{5}-3)^2} + 4\sqrt{5}`

`= \sqrt{5} + 2 + \sqrt{5} - 2 + | 2\sqrt{5} - 3 | + 4\sqrt{5}`

`= 6\sqrt{5} + 2\sqrt{5} - 3`

`= 8\sqrt{5} - 3`