Các câu hỏi tương tự
Tính tổng vói n là số tự nhiên :
\(\frac{1}{\sqrt{1}}+\frac{1}{\sqrt{1}+\sqrt{1+3}}+\frac{1}{\sqrt{1}+\sqrt{1+3}+\sqrt{1+3+5}}+....+\frac{1}{\sqrt{1}+\sqrt{1+3}+\sqrt{1+3+5}+...+\sqrt{1+3+5+...+\left(2n+1\right)}}\)
Tính tổng: \(F=\left(1+\frac{1}{\sqrt[3]{2}}\right)\left(1+\frac{1}{\sqrt[3]{2}}+\frac{1}{\sqrt[3]{3}}\right)\left(1+\frac{1}{\sqrt[3]{2}}+\frac{1}{\sqrt[3]{3}}+\frac{1}{\sqrt[3]{4}}\right)...\left(1+\frac{1}{\sqrt[3]{2}}+\frac{1}{\sqrt[3]{3}}+\frac{1}{\sqrt[3]{4}}+...+\frac{1}{\sqrt[3]{9}}\right)\)
Giải chi tiết hộ mk
Tính các tổng sau:
a)\(T=\frac{1}{1+\sqrt{5}}+\frac{1}{\sqrt{5}+\sqrt{9}}+\frac{1}{\sqrt{9}+\sqrt{13}}+...+\frac{1}{\sqrt{2013}+\sqrt{2017}}\)
b)\(S=\frac{1}{2\sqrt{1}+1\sqrt{2}}+\frac{1}{3\sqrt{2}+2\sqrt{3}}+...+\frac{1}{100\sqrt{99}+99\sqrt{100}}\)
Tính: a)frac{3sqrt{2}-sqrt{6}}{3-sqrt{3}}+sqrt{frac{2-sqrt{2}}{2+sqrt{2}}}b) 6sqrt{frac{1}{3}}-frac{sqrt{3}-3}{sqrt{3}}+frac{3sqrt{2}-2sqrt{3}}{sqrt{2}-sqrt{3}}c) frac{3+sqrt{3}}{sqrt{3}}+frac{2+sqrt{2}}{sqrt{2}+1}-2sqrt{2}d) left(frac{sqrt{14}-sqrt{7}}{sqrt{2}-1}+frac{sqrt{15}-sqrt{5}}{sqrt{3}-1}right):frac{1}{sqrt{7}-sqrt{5}}Xin giúp 4 bài trên. Cảm ơn trước ạ!
Đọc tiếp
Tính: a)\(\frac{3\sqrt{2}-\sqrt{6}}{3-\sqrt{3}}+\sqrt{\frac{2-\sqrt{2}}{2+\sqrt{2}}}\)
b) \(6\sqrt{\frac{1}{3}}-\frac{\sqrt{3}-3}{\sqrt{3}}+\frac{3\sqrt{2}-2\sqrt{3}}{\sqrt{2}-\sqrt{3}}\)
c) \(\frac{3+\sqrt{3}}{\sqrt{3}}+\frac{2+\sqrt{2}}{\sqrt{2}+1}-2\sqrt{2}\)
d) \(\left(\frac{\sqrt{14}-\sqrt{7}}{\sqrt{2}-1}+\frac{\sqrt{15}-\sqrt{5}}{\sqrt{3}-1}\right):\frac{1}{\sqrt{7}-\sqrt{5}}\)
Xin giúp 4 bài trên. Cảm ơn trước ạ!
cmr các đẳng thức :
1/\(\sqrt[3]{2}+\sqrt[3]{20}-\sqrt[3]{25}=3\sqrt{\sqrt[3]{5}-\sqrt[3]{4}}\)
2/\(\frac{\sqrt[4]{5}+1}{\sqrt[4]{5}-1}=\sqrt[4]{\frac{3+2\sqrt[4]{5}}{3-2\sqrt[4]{5}}}\)
3/\(\sqrt[3]{\sqrt[3]{2}-1}=\sqrt[3]{\frac{1}{9}}-\sqrt[3]{\frac{2}{9}}+\sqrt[3]{\frac{4}{9}}\)
giúp mik vs mik cần gấp lắm
\(y=\sqrt{\frac{3\sqrt{3}-4}{2\sqrt{3}+1}}-\sqrt{\frac{4+\sqrt{3}}{5-2\sqrt{3}}}-\frac{\sqrt{7+\sqrt{5}}+\sqrt{7-\sqrt{5}}}{\sqrt{7+2\sqrt{4}}}\)
Mọi người giải hộ mình nhé. Tính giá trị biểu thức trên
Tính
\(\frac{1}{\sqrt{1}-\sqrt{2}}-\frac{1}{\sqrt{2}-\sqrt{3}}+\frac{1}{\sqrt{3}}-\frac{1}{\sqrt{4}+\sqrt{5}}+.....-\)\(\frac{1}{\sqrt{8}-\sqrt{9}}\)
\(\frac{1}{3\sqrt{2}+2\sqrt{3}}+\frac{1}{4\sqrt{3}+3\sqrt{4}}+...+\frac{1}{10\sqrt{9}+9\sqrt{10}}\)
Thực hiện phép tính.1) sqrt[3]{sqrt{2}+1}.sqrt[3]{3+2sqrt{2}}:sqrt[3]{left(4-2sqrt{3}right)left(sqrt{3}-1right)}2) left(frac{1}{2}.sqrt[3]{9}-2.sqrt[3]{3}+3.sqrt[3]{frac{1}{3}}right):2.sqrt[3]{frac{1}{3}}3) left(sqrt[3]{4}+1right)^3-left(sqrt[3]{4}-1right)^34) left(2sqrt{6}-4sqrt{3}+5sqrt{2}-frac{1}{4}sqrt{8}right).3sqrt{6}
Đọc tiếp
Thực hiện phép tính.
1) \(\sqrt[3]{\sqrt{2}+1}.\sqrt[3]{3+2\sqrt{2}}:\sqrt[3]{\left(4-2\sqrt{3}\right)\left(\sqrt{3}-1\right)}\)
2) \(\left(\frac{1}{2}.\sqrt[3]{9}-2.\sqrt[3]{3}+3.\sqrt[3]{\frac{1}{3}}\right):2.\sqrt[3]{\frac{1}{3}}\)
3) \(\left(\sqrt[3]{4}+1\right)^3-\left(\sqrt[3]{4}-1\right)^3\)
4) \(\left(2\sqrt{6}-4\sqrt{3}+5\sqrt{2}-\frac{1}{4}\sqrt{8}\right).3\sqrt{6}\)