👤


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


Răspuns :

|[tex]|\sqrt{3}+\sqrt{5}| + |\sqrt{3}+\sqrt{5}| - |3-2\sqrt{5}| =\\ \\ =(\sqrt{3}+\sqrt{5})+(\sqrt{3}+\sqrt{5}) -\big(-(3-2\sqrt{5})\big)\\ \\ =2\sqrt{3}+2\sqrt{5}+3-2\sqrt{5}\\ \\ =2\sqrt{3}+3[/tex]