\(\sqrt{\frac{10}{17}}va\frac{3}{4}\)
Ta có \(\frac{10}{17}>\frac{9}{16}\)
\(\Rightarrow\sqrt{\frac{10}{17}}>\sqrt{\frac{9}{16}}\)
\(\Rightarrow\sqrt{\frac{10}{17}}>\frac{3}{4}\)
Học tốt
\(\sqrt{\frac{10}{17}}va\frac{3}{4}\)
Ta có \(\frac{10}{17}>\frac{9}{16}\)
\(\Rightarrow\sqrt{\frac{10}{17}}>\sqrt{\frac{9}{16}}\)
\(\Rightarrow\sqrt{\frac{10}{17}}>\frac{3}{4}\)
Học tốt
so sánh
\(\frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{4}}+...+\frac{1}{\sqrt{100}}\)\(\)va \(10\)
So sánh:
\(\frac{15-2\sqrt{10}}{3}\) va \(\sqrt{10}\)
So sánh:
1,\(2-\sqrt{2}va\frac{1}{2}\)
2, \(2\sqrt{3}-5va\sqrt{3}-4\)
3, \(\sqrt{3}-3\sqrt{2}va-4\sqrt{3}+5\sqrt{2}\)
4,\(1-\sqrt{3}va\sqrt{2}-\sqrt{6}\)
5, \(\sqrt{4\sqrt{5}}va\sqrt{5\sqrt{3}}\)
6, \(\sqrt{\sqrt{6}-\sqrt{5}}-\sqrt{\sqrt{3}-\sqrt{2}}va..0\)
7, \(-2\sqrt{\frac{1}{2}\sqrt{5}}va-3\sqrt{\frac{1}{3}\sqrt{2}}\)
So sánh \(\frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}...+\frac{1}{\sqrt{100}}\) và 10
So sánh:
\(\frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+.....+\frac{1}{\sqrt{100}}\) và 10
so sánh \(\frac{30-2\sqrt{45}}{4}\)và \(\sqrt{17}\)
So sánh :
\(\sqrt{17}+\sqrt{5}+1\) và \(\sqrt{45}\)
\(1+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+...+\frac{1}{\sqrt{36}}\) và 6
Cho M=\(\frac{\sqrt{2}-\sqrt{1}}{1+1}+\frac{\sqrt{3}-\sqrt{2}}{2+3}+\frac{\sqrt{4}-\sqrt{3}}{3+4}+...+\frac{\sqrt{2015}-\sqrt{2014}}{2014+2015}\)
Hãy so sánh M với 1/2
SO SÁNH
a.\(\sqrt{n+2}-\sqrt{n+1}và\sqrt{n+1}-\sqrt{n}\left(n\right)làsốnguyêndương\)
\(b.\sqrt{17}+\sqrt{26}+1và\sqrt{99}\)
Chứng minh
\(c.\frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{4}}+...+\frac{1}{\sqrt{2025}}>45\)