Răspuns:
[tex]|\sqrt{5}-3|+\frac{4}{3-\sqrt{5} } =\\= |\sqrt{5} -\sqrt{9} |+\frac{4(3+\sqrt{5}) }{3^2-\sqrt{5}^2 } =\\=-(\sqrt{5}-3)+\frac{4(3+\sqrt{5}) }{4} =\\= -\sqrt{5}+3+3+\sqrt{5}==6[/tex] ∈ Z
