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/5-[tex] \sqrt{5} [/tex]/+/2-[tex] \sqrt{3} [/tex]/-2

Răspuns :


[tex]\Big|5- \sqrt{5} \Big|+\Big|2- \sqrt{3} \Big|-2 \\ \\ 5 \ \textgreater \ \sqrt{5}~~\Longrightarrow~~\Big|5- \sqrt{5}\Big|=5 - \sqrt{5} \\ \\ 2 \ \textgreater \ \sqrt{3}~~\Longrightarrow~~ \Big|2\ \textgreater \ \sqrt{3}\Big|= 2 - \sqrt{3} \\ \\ \Longrightarrow~~\Big|5- \sqrt{5} \Big|+\Big|2- \sqrt{3} \Big|-2= 5 - \sqrt{5}+2 - \sqrt{3}-2=\boxed{5-\sqrt{5}-\sqrt{3}}[/tex]