Chứng tỏ
a, \(\sqrt{21}-\sqrt{5}>\sqrt{20}-\sqrt{6}\)
b.\(\sqrt{2}+\sqrt{8}< \sqrt{3}+3\)
c,\(\sqrt{5}+\sqrt{10}>5,3\)
Câu 1: Chứng minh:
\(31.82+125.48+21.43=125.67=1500\)
Câu 2: So sánh:
1,\(\sqrt{51}-\sqrt{5}v\text{à}\sqrt{20}-\sqrt{6}\)
2,\(\sqrt{2}+\sqrt{8}v\text{à}\sqrt{3}+3\)
3,\(\sqrt{37}-\sqrt{14}v\text{à}6-\sqrt{15}\)
4,\(\sqrt{5}+\sqrt{10}v\text{à}5,3\)
Chứng minh rằng \(\sqrt{5}+\sqrt{10}
Chứng minh rằng : \(\dfrac{1}{\sqrt{1}}+\dfrac{1}{\sqrt{2}}+\dfrac{1}{\sqrt{3}}+...+\dfrac{1}{\sqrt{100}}>10\)
Chứng minh rằng:
\(\sqrt{\sqrt{5}-\sqrt{8-\sqrt{81}-8\sqrt{5}}}=\sqrt{2}\)
Chứng minh rằng :\(\frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+...+\frac{1}{\sqrt{100}}>10\)
Chứng minh rằng:\(\frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+....+\frac{1}{\sqrt{100}}>10\)
chứng minh \(\frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+.....+\frac{1}{\sqrt{100}}< 10\)
Chứng minh :
\(\frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+....+\frac{1}{\sqrt{100}}>10\)