\(\left(\frac{\sqrt{14}-\sqrt{7}}{1-\sqrt{2}}+\frac{5-\sqrt{5}}{1-\sqrt{5}}\right):\frac{1}{\sqrt{7}-\sqrt{5}}\)
Tinh gia tri bieu thuc
Tim gia tri cua bieu thuc A=\(3\left(\frac{2}{\sqrt{10}+5}+\frac{5}{\sqrt{10}-2}-\frac{7}{\sqrt{10}}\right)\)
cho A= \(\frac{1-\sqrt{x}}{1+\sqrt{x}}\) ,B=\((\frac{15-\sqrt{x}}{x-25}\)+\(\frac{2}{\sqrt{x+5}}\)) : \(\frac{\sqrt{x}+1}{\sqrt{x}-5}\)
a) tinh gia tri bieu thuc A khi x = 16
b) rut gon B
c) tim x để ( B-A) nguyen
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 \(\sqrt{\frac{5+2\sqrt{6}}{5-\sqrt{6}}}+\sqrt{\frac{5-2\sqrt{6}}{5+\sqrt{6}}}\)
Tinh gia tri cua bieu thuc : a) A = \(\frac{1}{\sqrt{2}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{4}}+\frac{1}{\sqrt{4}+\sqrt{5}}+...+\frac{1}{\sqrt{24}+\sqrt{25}}\)
b) B = \(\frac{1}{\sqrt{3}+\sqrt{5}}+\frac{1}{\sqrt{5}+\sqrt{7}}+\frac{1}{\sqrt{7}+\sqrt{9}}+...+\frac{1}{\sqrt{97}+\sqrt{99}}\)
Tinh Gia tri bieu thuc \(\frac{1}{\sqrt{7-\sqrt{24}}+1}-\frac{1}{\sqrt{7+\sqrt{24}+1}}\)
Tinh gia tri bieu thuc \(\frac{1}{\sqrt{7}-\sqrt{24}+1}-\frac{1}{\sqrt{7}+\sqrt{24}+1}\)
cho bieu thuc \(P=\left(\frac{\sqrt{x}-2}{x-1}-\frac{\sqrt{x+2}}{x-2\sqrt{x}+1}\right)\cdot\frac{\left(1-x\right)^2}{2}\)
a) rut gon P
b) tim gia tri lon nhat cua P