Các câu hỏi tương tự
CMR: \(\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+...+\frac{1}{\sqrt{225}}< 28\)
CMR: \(\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+....+\frac{1}{\sqrt{225}}< 28\)
Chứng minh: \(\frac{36}{\sqrt{x-2}}+\frac{4}{\sqrt{y-1}}=28-4\sqrt{x-2}-\sqrt{y-1}\)
a)Cho a>b>0 chứng minh rằng \(\frac{1}{a+b}\le\frac{1}{2\sqrt{ab}}\)
b) Chứng minh \(\frac{\sqrt{2}-\sqrt{1}}{3}+\frac{\sqrt{3}-\sqrt{2}}{5}+\frac{\sqrt{4}-\sqrt{3}}{7}+...+\frac{\sqrt{2011}-\sqrt{2010}}{4021}< \frac{1}{2}\)
CMR \(\frac{1}{\sqrt{2}}\)+\(\frac{1}{\sqrt{3}}\)+.....+\(\frac{1}{\sqrt{225}}\)<28
cm : \(\frac{1}{\sqrt{2}}\)+\(\frac{1}{\sqrt{3}}\)+...\(\frac{1}{\sqrt{225}}\)<28
Tính
\(\frac{1}{2\sqrt{1}+1\sqrt{2}}+\frac{1}{3\sqrt{2}+2\sqrt{3}}+...+\frac{1}{225\sqrt{224}+224\sqrt{225}}\)
chứng minh B=\(\frac{1}{1+\sqrt{2}}+\frac{1}{\sqrt{3}+\sqrt{4}}+\frac{1}{\sqrt{5}+\sqrt{6}}+...+\frac{1}{\sqrt{78}+\sqrt{79}}>4\)
1) Chứng minh đẳng thức \(\left(\frac{3\sqrt{2}-\sqrt{6}}{\sqrt{27}-3}-\frac{\sqrt{150}}{3}\right).\frac{1}{\sqrt{6}}=-\frac{4}{3}\)
2) Chứng minh \(\sqrt{\sqrt{3}-\sqrt{3-\sqrt{13-4\sqrt{3}}}}=1\)