Các câu hỏi tương tự
Rút gọn
A=(\(\left(2-\sqrt{3}\right).\sqrt{26+15\sqrt{3}}-\left(2+\sqrt{3}\right).\sqrt{26-15\sqrt{3}}\)
\(B=\left(2-\sqrt{3}\right).\sqrt{26+15\sqrt{3}}-\left(2+\sqrt{3}\right).\sqrt{26-15\sqrt{3}}\)
\(C=\left(\sqrt{10}-\sqrt{2}\right).\sqrt{3+\sqrt{5}}\)
\(\left(2-\sqrt{3}\right)\sqrt{26+15\sqrt{3}-\left(2+\sqrt{3}\right)\sqrt{26-15\sqrt{3}}}\)
C/m
\(\left(2-\sqrt{3}\right).\sqrt{26+15\sqrt{3}}-\left(2+\sqrt{3}\right).\sqrt{26-15\sqrt{3}}=\sqrt{2}\)
1.Tính: \(\sqrt[3]{26+15\sqrt{3}}\) - \(\sqrt[3]{26-15\sqrt{3}}\)
2.Rút gọn: P=\(\left(\frac{\sqrt{a-2}+2}{3}\right)\).\(\left(\frac{\sqrt{a-2}}{3+\sqrt{a-2}}+\frac{a+7}{11-a}\right)\):\(\left(\frac{3\sqrt{a-2}+1}{a-3\sqrt{a-2}-2}-\frac{1}{\sqrt{a-2}}\right)\)
Rút gọn biểu thức:
\(M=\sqrt[3]{26+15\sqrt{3}}.\left(2-\sqrt{3}\right)+\sqrt[3]{9+\sqrt{80}}+\sqrt[3]{9-\sqrt{80}}\)
Tính \(S=\sqrt[3]{26+15\sqrt{3}}\left(2-\sqrt{3}\right)+\sqrt[3]{9+\sqrt{80}}+\sqrt[3]{9-\sqrt{80}}\)
Thu gọn biểu thức
\(B=21\left(\sqrt{2+\sqrt{3}}+\sqrt{3-\sqrt{5}}\right)^2-6\left(\sqrt{2+\sqrt{3}}+\sqrt{3+\sqrt{5}}\right)^2-15\sqrt{15}\)
thu gọn các biểu thức sau
\(\sqrt{\sqrt{5-\sqrt{3-\sqrt{29-12\sqrt{5}}}}}\)
\(\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
\(\sqrt{6-2\sqrt{\sqrt{2}+\sqrt{12+\sqrt{18-8\sqrt{2}}}}}\)
\(\left(2-\sqrt{3}\right)\)\(\sqrt{26+15\sqrt{3}}\)-\(\left(2+\sqrt{3}\right)\)\(\sqrt{26-15\sqrt{3}}\)