Tính \(S=\sqrt[3]{26+15\sqrt{3}}\left(2-\sqrt{3}\right)+\sqrt[3]{9+\sqrt{80}}+\sqrt[3]{9-\sqrt{80}}\)
cho \(x=\frac{26+15\sqrt{3}}{\sqrt{9+\sqrt{80}}+\sqrt{9-\sqrt{80}}}\)
tính \(\left(3x^3+x^2+1\right)^{2018}\)
Rút gọn biểu thức:
\(M=\sqrt[3]{26+15\sqrt{3}}.\left(2-\sqrt{3}\right)+\sqrt[3]{9+\sqrt{80}}+\sqrt[3]{9-\sqrt{80}}\)
Cho \(x=\frac{\sqrt[3]{26+15\sqrt{3}}\left(2-\sqrt{3}\right)}{\sqrt[3]{9+\sqrt{80}}+\sqrt[3]{9-\sqrt{80}}}\)
tính \(R=\left(3x^3-x^2-1\right)^{2004}\)
9) \(\sqrt{20}\) + 2\(\sqrt{45}\) + \(\sqrt{125}\) - 3\(\sqrt{80}\)
10) \(\sqrt{75}\) - \(\sqrt{5\dfrac{1}{3}}\) + \(\dfrac{9}{2}\) \(\sqrt{2\dfrac{2}{3}}\) + 2\(\sqrt{27}\)
\(2\sqrt{18}-3\sqrt{80}-5\sqrt{147}+5\sqrt{245}-3\sqrt{9}\)
tính a,\(\sqrt{3-4\sqrt{\text{5}}}-\sqrt{9+\sqrt{30}}\)
Rút gọn
H= \(\sqrt{9-\sqrt{17}}.\sqrt{9+\sqrt{17}}\)
K=\(\left(\sqrt{20}-3\sqrt{5}+\sqrt{80}\right).\sqrt{5}\)
A=\(\sqrt{12-\sqrt{80-32\sqrt{3}}}-\sqrt{12+\sqrt{80-32\sqrt{3}}}\) tính giá trị biểu thức