Thực hiện phép tính :1 ) \(\frac{1}{5+2\sqrt{6}}\)\(+\)\(\frac{1}{5-2\sqrt{6}}\)2 ) \(\frac{5+\sqrt{5}}{5-\sqrt{5}}\)\(+\)\(\frac{5-\sqrt{5}}{5+\sqrt{5}}\)3 ) \(\frac{1}{2\sqrt{5}+3\sqrt{2}}\)\(-\)\(\frac{1}{2\sqrt{5}-3\sqrt{2}}\)4 ) \(\frac{1}{3\sqrt{2}-4}\)\(-\)\(\frac{1}{3\sqrt{2}+4}\)5 ) \(\frac{1}{\sqrt{7-\sqrt{24}}+1}\)\(-\)\(\frac{1}{\sqrt{7-\sqrt{24}}-1}\)6 ) \(\frac{\sqrt{3}}{\sqrt{\sqrt{3}+1}-1}\)\(-\)\(\frac{1}{\sqrt{\sqrt{3}+1}+1}\)7...
Đọc tiếp
Thực hiện phép tính :
1 ) \(\frac{1}{5+2\sqrt{6}}\)\(+\)\(\frac{1}{5-2\sqrt{6}}\)
2 ) \(\frac{5+\sqrt{5}}{5-\sqrt{5}}\)\(+\)\(\frac{5-\sqrt{5}}{5+\sqrt{5}}\)
3 ) \(\frac{1}{2\sqrt{5}+3\sqrt{2}}\)\(-\)\(\frac{1}{2\sqrt{5}-3\sqrt{2}}\)
4 ) \(\frac{1}{3\sqrt{2}-4}\)\(-\)\(\frac{1}{3\sqrt{2}+4}\)
5 ) \(\frac{1}{\sqrt{7-\sqrt{24}}+1}\)\(-\)\(\frac{1}{\sqrt{7-\sqrt{24}}-1}\)
6 ) \(\frac{\sqrt{3}}{\sqrt{\sqrt{3}+1}-1}\)\(-\)\(\frac{1}{\sqrt{\sqrt{3}+1}+1}\)
7 ) \(\sqrt{\frac{3+\sqrt{5}}{3-\sqrt{5}}}\)\(+\)\(\sqrt{\frac{3-\sqrt{5}}{3+\sqrt{5}}}\)
8 ) \(\sqrt{\frac{5+2\sqrt{6}}{5-2\sqrt{6}}}\)\(+\)\(\sqrt{\frac{5-2\sqrt{6}}{5+2\sqrt{6}}}\)
a, \(\frac{1}{\left(\sqrt{3}+\sqrt{2}\right)^2}\) +\(\frac{1}{\left(\sqrt{3}-\sqrt{2}\right)^2}\) =\(\frac{\left(\sqrt{3}+\sqrt{2}\right)^2+\left(\sqrt{3}-\sqrt{2}\right)^2}{\left(\sqrt{3}+\sqrt{2}\right)^2\left(\sqrt{3}-\sqrt{2}\right)^2}\)
\(=\frac{10}{1}=10\)
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