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Ta có :
[TEX]\sqrt{x^2+x+1}+\sqrt{x^2-x+1}[/TEX]
[TEX]=\sqrt{(x+\frac{1}{2})^2+\frac{3}{4}}+\sqrt{(\frac{1}{2}-x)^2+\frac{3}{4}}[/TEX]
[TEX]\geq \sqrt{(x+\frac{1}{2}+\frac{1}{2}-x)^2+(2.\frac{\sqrt{3}}{2})^2}[/TEX]
[TEX]=2[/TEX]
[TEX]==> GTNN_y=2[/TEX];

:-\"