Question

2012 rez. Va rog frumos.

Answer 1

Răspuns:

$|\sqrt{5}-3|+\frac{4}{3-\sqrt{5} }   =\\= |\sqrt{5}  -\sqrt{9} |+\frac{4(3+\sqrt{5}) }{3^2-\sqrt{5}^2 } =\\=-(\sqrt{5}-3)+\frac{4(3+\sqrt{5}) }{4}  =\\= -\sqrt{5}+3+3+\sqrt{5}==6$ ∈ Z