rút gọn
\(\frac{-4}{7}\)
Rút gọn phân số sau:\(\frac{\frac{2}{7}+\frac{2}{9}-\frac{2}{121}}{\frac{4}{7}+\frac{4}{9}-\frac{4}{121}}\)
\(\frac{\frac{2}{7}+\frac{2}{9}-\frac{2}{121}}{\frac{4}{7}+\frac{4}{9}-\frac{4}{121}}=\frac{2.\hept{ }\frac{1}{7}+\frac{1}{9}-\frac{1}{121}}{4.\hept{ }\frac{1}{7}+\frac{1}{9}-\frac{1}{121}}=\frac{2}{4}=\frac{1}{2}\)
bạn nhớ thay ngoặc nhọn thành ngoặc tròn nhé và nhớ đóng mở ngoặc
Rút gọn:
\(\frac{\frac{7}{2012}+\frac{7}{9}-\frac{1}{4}}{\frac{5}{9}-\frac{3}{2012}-\frac{1}{4}}\)
rút gọn\(\frac{-4}{7}\)
\(\frac{1-\frac{1}{\sqrt{49}}+\frac{1}{49}-\frac{1}{\left(7\sqrt{7}\right)^2}}{\frac{\sqrt{64}}{2}-\frac{4}{7}+\left(\frac{2}{7}\right)^2-\frac{4}{343}}\)
Rút gọn biểu thức
\(\frac{1-\frac{1}{\sqrt{49}}+\frac{1}{49}-\frac{1}{\left(7\sqrt{7}\right)^2}}{\frac{\sqrt{64}}{2}-\frac{4}{7}+\left(\frac{2}{7}\right)^2-\frac{4}{343}}\)
\(=\frac{1-\frac{1}{7}+\frac{1}{49}-\frac{1}{343}}{4-\frac{4}{7}+\frac{4}{49}-\frac{4}{343}}\)
\(=\frac{1-\frac{1}{7}+\frac{1}{49}-\frac{1}{343}}{4\left(1-\frac{1}{7}+\frac{1}{49}-\frac{1}{343}\right)}\)
\(=\frac{1}{4}\)
rút gọn biểu thức
P= \(\sqrt{\frac{4-\sqrt{7}}{4+\sqrt{7}}+\sqrt{\frac{4+\sqrt{7}}{4-\sqrt{-7}}}}\)
Giups mình với :< pls
Đề : Rút gọn biểu thức
B =\(\frac{1}{\sqrt{5}+\sqrt{7}}-\frac{1}{\sqrt{5}-\sqrt{7}}\)
C =\(\sqrt{\frac{4+\sqrt{7}}{4-\sqrt{7}}}+\sqrt{\frac{4-\sqrt{7}}{4+\sqrt{7}}}\)
\(B=\frac{1}{\sqrt{5}+\sqrt{7}}-\frac{1}{\sqrt{5}-\sqrt{7}}=\frac{\sqrt{5}-\sqrt{7}-\sqrt{5}-\sqrt{7}}{5-7}=\frac{-2\sqrt{7}}{-2}=\sqrt{7}\)
\(C=\sqrt{\frac{4+\sqrt{7}}{4-\sqrt{7}}}+\sqrt{\frac{4-\sqrt{7}}{4+\sqrt{7}}}=\sqrt{\left(\sqrt{\frac{4+\sqrt{7}}{4-\sqrt{7}}}+\sqrt{\frac{4-\sqrt{7}}{4+\sqrt{7}}}\right)^2}\)
\(C=\sqrt{\frac{4+\sqrt{7}}{4-\sqrt{7}}+2\sqrt{\frac{\left(4+\sqrt{7}\right)\left(4-\sqrt{7}\right)}{\left(4-\sqrt{7}\right)\left(4+\sqrt{7}\right)}}+\frac{4-\sqrt{7}}{4+\sqrt{7}}}\)
\(C=\sqrt{\frac{\left(4+\sqrt{7}\right)^2}{16-7}+\frac{\left(4-\sqrt{7}\right)^2}{16-7}+2}\)
\(C=\sqrt{\frac{\left(4+\sqrt{7}+4-\sqrt{7}\right)^2-2\left(4+\sqrt{7}\right)\left(4-\sqrt{7}\right)}{16-7}+2}\)
\(C=\sqrt{\frac{16^2-2\left(16-7\right)}{9}+2}=\sqrt{\frac{238}{9}+2}=\sqrt{\frac{256}{9}}=\frac{16}{3}\)
Chúc bạn học tốt ~
đoạn cuối sửa lại nhé -,- tính ngu
\(C=\sqrt{\frac{8^2-2\left(16-7\right)}{9}+2}=\sqrt{\frac{46}{9}+2}=\sqrt{\frac{64}{9}}=\frac{8}{3}\)
Chúc bạn học tốt ~
A=\(\frac{7}{4}.\left(\frac{3333}{1212}+\frac{3333}{2020}+\frac{3333}{3030}+\frac{3333}{4242}\right)\)
A=\(\frac{7}{4}.\left[33.\left(\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}\right)\right]\)
A=\(\frac{7}{4}.\left[33.\left(\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}\right)\right]\)
A=\(\frac{7}{4}.\left[33.\left(\frac{1}{3-4}+\frac{1}{4-5}+\frac{1}{5-6}+\frac{1}{6-7}\right)\right]\)
A=\(\frac{7}{4}.\left[33.\left(\frac{1}{3}-\frac{1}{7}\right)\right]\)
A=\(\frac{7}{4}.\frac{44}{7}\)
A=11
Like cho mình nha bài này viết mỏi tay lắm
Rút gọn biểu thức
4\frac{7}{100}1007.\frac{1}{999}9991-1\frac{1}{500}5001.\frac{4}{999}9994+\frac{1001}{999.1000}999.10001001
rút gọn phân số sau:
A = \(\frac{1-\sqrt[1]{49}+\sqrt[1]{49}-\frac{1}{\left(7\sqrt{7}\right)^2}}{\sqrt{\frac{64}{2}}-\frac{4}{7}+\left(\frac{2}{7}\right)^2-\frac{4}{343}}\)