\(x=\frac{2\sqrt{3}-1}{2}\) \(y=\frac{\sqrt{3}-1}{2}\)

\(\text{Tính }M=x^5+y^5\)

Rút gọn: \(A=\frac{\sqrt{\sqrt{5}+2}+\sqrt{\sqrt{5}-2}}{\sqrt{\sqrt{5}+1}}\)

Cho a, b, c > 0 thỏa mãn: a + b + c = 2

CM: \(\sqrt[3]{\frac{1}{a}}+\sqrt[3]{\frac{1}{b}}+\sqrt[3]{\frac{1}{c}}\ge\frac{3\sqrt[3]{12}}{2}\)