a)Ta có: [tex]A=\sqrt{\frac{(x^2-3)^2+12x^2}{x^2}}+\sqrt{(x-2)^2+8x}=\sqrt{\frac{(x^2+3)^2}{x^2}}+\sqrt{(x+2)^2}=\frac{x^2+3}{|x|}+|x+2|[/tex]
b)Để A nguyên thì [tex]x^2+3\vdots x\Rightarrow 3\vdots x\Rightarrow x\in \left \{ 1;3;-1;-3 \right \}[/tex]