\(\sqrt{11-2\sqrt{30}}-\sqrt{11+2\sqrt{30}}\)
\(=\sqrt{\left(\sqrt{6}-\sqrt{5}\right)^2}-\sqrt{\left(\sqrt{6}+\sqrt{5}\right)^2}\)
\(=\sqrt{6}-\sqrt{5}-\sqrt{6}-\sqrt{5}\)
\(=-2\sqrt{5}\)
\(\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
Tinh gia tri bieu thuc
\(\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
Tih gia tri bieu thuc
Lam cu the de minh de hieu nha
\(2\sqrt{3+\sqrt{5-\sqrt{13+\sqrt{48}}}}\)
tinh gia tri bieu thuc
Tinh gia tri bieu thuc \(\sqrt{\frac{5+2\sqrt{6}}{5-\sqrt{6}}+\sqrt{\frac{5-2\sqrt{6}}{5+\sqrt{6}}}}\)
Tinh gia tri bieu thuc \(\sqrt{\frac{5+2\sqrt{6}}{5-\sqrt{6}}}+\sqrt{\frac{5-2\sqrt{6}}{5+\sqrt{6}}}\)
\(\left(\frac{\sqrt{14}-\sqrt{7}}{1-\sqrt{2}}+\frac{5-\sqrt{5}}{1-\sqrt{5}}\right):\frac{1}{\sqrt{7}-\sqrt{5}}\)
Tinh gia tri bieu thuc
Câu 1: Tính
a. \(\sqrt{3\dfrac{6}{25}}\) b. \(\sqrt[3]{261}\) c. \(\sqrt{8,1}\) . \(\sqrt{20}\). \(\sqrt{8}\)
d. \(\sqrt{11+2\sqrt{30}}-\sqrt{11-2\sqrt{30}}\)
cho \(f=\frac{\sqrt{x}-1}{\sqrt{x}-2}\)tinh gia tri bieu thuc f khi x\(=\frac{2+\sqrt{3}}{2}\)
Tinh Gia tri bieu thuc \(\frac{1}{\sqrt{7-\sqrt{24}}+1}-\frac{1}{\sqrt{7+\sqrt{24}+1}}\)