Các câu hỏi tương tự
CMR:\(\sqrt[3]{5\sqrt{2}+7}-\sqrt[3]{5\sqrt{2}-7}=2\)
CMR : \(\frac{\sqrt[4]{5}-1}{\sqrt{5}+1}=\sqrt[4]{\frac{3-2\sqrt[4]{5}}{3+2\sqrt[4]{5}}}\)
cmr các đẳng thức :
1/\(\sqrt[3]{2}+\sqrt[3]{20}-\sqrt[3]{25}=3\sqrt{\sqrt[3]{5}-\sqrt[3]{4}}\)
2/\(\frac{\sqrt[4]{5}+1}{\sqrt[4]{5}-1}=\sqrt[4]{\frac{3+2\sqrt[4]{5}}{3-2\sqrt[4]{5}}}\)
3/\(\sqrt[3]{\sqrt[3]{2}-1}=\sqrt[3]{\frac{1}{9}}-\sqrt[3]{\frac{2}{9}}+\sqrt[3]{\frac{4}{9}}\)
giúp mik vs mik cần gấp lắm
CMR \(\frac{\sqrt[4]{5}+1}{\sqrt[4]{5}-1}=\sqrt[4]{\frac{3+2\sqrt[4]{5}}{3-2\sqrt[4]{5}}}\)
CMR:
Q = \(\frac{1}{2+\sqrt{3}}+\sqrt{3}-1+\sqrt{\left(3+2\sqrt{2}\right).\left(3-2\sqrt{2}\right)}\)
M = \(\left(5+\sqrt{21}\right).\left(\sqrt{14}-\sqrt{6}\right).\sqrt{5-\sqrt{21}}\)
N = \(\frac{\sqrt{\sqrt{5}+2}+\sqrt{\sqrt{5}-2}}{\sqrt{2}}-\sqrt{\sqrt{5}+1}\)
Là số nguyên.
CMR:
\(\sqrt[3]{5\sqrt{2}+7}-\sqrt[3]{5\sqrt{2}-7}=2\)
CMR:\(\sqrt{2\sqrt{3\sqrt{4\sqrt{5\sqrt{.....\sqrt{2017}}}}}}< 3\)
CMR
\(\frac{\sqrt[4]{5}-1}{\sqrt[4]{5}+1}=\sqrt[4]{\frac{3-2\sqrt[4]{5}}{3+2\sqrt[4]{5}}}\)
CMR : biểu thức sau không phụ thuộc vào x :
A = \(\frac{\sqrt{x}+\sqrt[3]{2-\sqrt{3}}.\sqrt[6]{7+4\sqrt{3}}-x}{\sqrt[4]{9-4\sqrt{5}}.\sqrt{2+\sqrt{5}}+\sqrt{x}}\)
CMR: \(\frac{\sqrt{2}-1}{3}+\frac{\sqrt{3}-\sqrt{2}}{5}+...+\frac{\sqrt{25}-\sqrt{24}}{49}< \frac{2}{5}\)