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Se considera numerele reale a = [tex]\sqrt{(\sqrt{3} -3\sqrt{2})^2 }[/tex] si b =[tex](\sqrt{3}+\sqrt{6})^2-(\frac{3\sqrt{6} }{\sqrt{3} } +\frac{6\sqrt{3} }{\sqrt{6} })-(1-2\sqrt{2} )^2+|\sqrt{2} -\sqrt{3}|.[/tex]
a) Calculeaza valorile numerelor reale a si b.
b) Arata ca numarul real [tex]x=\frac{1}{a}+\frac{1}{b} -\frac{3}{ab}[/tex] apartine intervalului [tex](\frac{9}{25},\frac{2}{5} ).[/tex]