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Calculați: l√3-√2l+l√3+√2l-l√2-√3l=

Răspuns :

[tex]\left|\sqrt{3}-\sqrt{2}\right|+\left|\sqrt{3}+\sqrt{2}\right|-\left|\sqrt{2}-\sqrt{3}\right| =\\ \\ =(\sqrt{3}-\sqrt{2})+(\sqrt{3}+\sqrt{2})-(\sqrt{3}-\sqrt{2})\\ \\ =2\sqrt{3}-\sqrt{3}+\sqrt{2}\\ \\ = \boxed{\sqrt{3}+\sqrt{2}}[/tex]