\(\sum\limits^{100}_1\left(\frac{1}{\sqrt{x}}\right)\)=18,58960382
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Violympic toán 7
Các câu hỏi tương tự
a) CM: A2= \(\frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{4}}+...+\frac{1}{\sqrt{100}}>10\)
b) CM: A3= \(\frac{1}{2!}+\frac{2}{3!}+\frac{3}{4!}+\frac{4}{5!}+...+\frac{99}{100!}< 1\)
\(\frac{1}{2}.\sqrt{100}-\sqrt{\frac{1}{16}+\left(\frac{1}{3}\right)^0}\)
Thực hiện phép tính sau
a. F=[12(1)-2,3(6)]:4,(21)
b.\(\frac{1\frac{11}{34}.4\frac{3}{7}-\left(\frac{3}{2}-6\frac{1}{3}.\frac{2}{19}\right)}{4\frac{5}{6}+\frac{1}{6}.\left(12-5\frac{1}{3}\right)}\)
c.1-\(\frac{\sqrt{121}}{\sqrt{196}}-\frac{\sqrt{169}}{\sqrt{144}}+\frac{\sqrt{25}}{\sqrt{36}}+\left(-1\frac{2}{3}\right):\left(-3\frac{1}{3}\right)\)
tính nhanh
B=\(\frac{\left(\frac{1}{4}-\frac{\sqrt{2}}{7}+\frac{3\sqrt{2}}{35}\right)\left(\frac{-4}{15}\right)}{\left(\frac{1}{10}+\frac{3\sqrt{2}}{35}-\frac{\sqrt{2}}{5}\right)\frac{5}{7}}\)
\(\left|x-\frac{1}{2}\right|-\sqrt{\frac{1}{2}=\sqrt{\frac{1}{4}}}\)
a)\(\frac{-7}{12}+\left(\frac{1}{4}+\frac{2}{3}\right)\)
b)0,5 . \(\sqrt{100}\)-\(\sqrt{\frac{1}{4}}\)
c)(-3)\(^2\) . \(\left(\frac{3}{4}-0,25\right)\)-\(\left|3\frac{1}{2}-1\frac{1}{2}\right|\)
1.thực hiện phép tính
a.(0,125).(-3.7).(-2)\(^3\)
b.\(\sqrt{36}.\sqrt{\frac{25}{16}}+\frac{1}{4}\)
c.\(\sqrt{\frac{4}{81}}:\sqrt{\frac{25}{81}}-1^2_5\)
d.\(0,1.\sqrt{225}.\sqrt{\frac{1}{4}}\)
1 tìm x biết
a, \(x-4\sqrt{x}=0\)
b, \(|\frac{3}{5}\sqrt{x}-\frac{1}{20}|-\frac{3}{4}=\frac{1}{5}\)
c, \(|\frac{13}{5}\sqrt{x}-\frac{1}{30}|-\frac{2}{3}=\frac{1}{6}\)
Bài 3: Thực hiện phép tính:
a) \(9,2.2\frac{1}{2}.-\left(2.125-1\frac{5}{12}\right):\frac{1}{4}\)
b) \(\frac{\sqrt{3^2}-\sqrt{39^2}}{\sqrt{59-10-\sqrt{91^2}}}\)
c) \(\frac{5}{18}-1,456:\frac{7}{25}+4,5.\frac{4}{5}\)