\(x=\frac{\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2+2}}}}}}}}}}}}}{\frac{2}{\sqrt{3+\sqrt{\frac{2}{\sqrt{3+\sqrt{\frac{2}{\sqrt{3+\sqrt{\frac{2}{\sqrt{3+\sqrt{\frac{2}{\sqrt{3+1}}}}}}}}}}}}}}}\)
Tính \(A=\left(\sqrt{x}^{1000}+x^{500}\right)^{2000}\)