Dạng chuẩn:
\(\frac{a^2}{a^2-a.100+5000}\)
tìm cách rút gọn ik
ai biết đăng ảnh lên olm dạy mình với
mình ko biết
Tính : A = \(\frac{1^2}{1^2-100.1+5000}+\frac{2^2}{2^2-100.2+5000}+...+\frac{99^2}{99^2-100.99+5000}\)
Tính
\(\frac{1-\sqrt{2}}{\sqrt{2}}+\frac{\sqrt{2}-\sqrt{3}}{\sqrt{6}}+\frac{\sqrt{3}-\sqrt{4}}{\sqrt{12}}+...+\frac{\sqrt{99}-\sqrt{100}}{\sqrt{9900}}\)
Tính tổng sau:
\(A=\frac{1}{2\sqrt{1}+1\sqrt{2}}+\frac{1}{3\sqrt{2}+2\sqrt{3}}+....+\frac{1}{100\sqrt{99}+99\sqrt{100}}\)
Tính
\(A=\frac{1}{2\sqrt{1}+1\sqrt{2}}+\frac{1}{3\sqrt{2}+2\sqrt{3}}+\frac{1}{4\sqrt{3}+3\sqrt{4}}+...+\frac{1}{100\sqrt{99}+99\sqrt{100}}\)
tính
\(\frac{1}{2+\sqrt{2}}+\frac{1}{3\sqrt{2}+2\sqrt{3}}+\frac{1}{4\sqrt{3}+3\sqrt{4}}+........+\frac{1}{100\sqrt{99}+99\sqrt{100}}\)
Tính tổng S =\(\frac{1}{2+\sqrt{2}}+\frac{1}{3\sqrt{2}+2\sqrt{3}}+\frac{1}{4\sqrt{3}+3\sqrt{4}}+...+\frac{1}{100\sqrt{99}+99\sqrt{100}}\)
Tính GTBT
\(B=\frac{1}{2\sqrt{1}+1\sqrt{2}}+\frac{1}{2\sqrt{3}+3\sqrt{2}}+\frac{...1}{99\sqrt{100}+100\sqrt{99}}\)
Tính:
A=\(\sqrt{1+\frac{1}{2^2}+\frac{1}{3^2}}+\sqrt{1+\frac{1}{3^2}+\frac{1}{4^2}}+...+\sqrt{1+\frac{1}{99^2}+\frac{1}{100^2}}\)
Tính
\(\frac{1}{2\sqrt{1}+1\sqrt{2}}+\frac{1}{3\sqrt{2}+2\sqrt{3}}+...+\)\(\frac{1}{100\sqrt{99}+99\sqrt{100}}\)
