Các câu hỏi tương tự
sqrt( 12 -3 )sqrt(7) - sqrt ( 12 + 3 ) sqrt (7)
\(\sqrt{12-6\sqrt{3}}\)-\(\sqrt{7-4\sqrt{3}}\)
Tính:a,-0,8.sqrt{left(-0,125right)^2}b,sqrt{left(-2right)^6}+sqrt{left(-3right)^4}c,sqrt{3+2sqrt{2}}-sqrt{2}d,sqrt{9-4sqrt{5}}-sqrt{5}e,sqrt{16-6sqrt{7}}-2sqrt{7}g,sqrt{30+12sqrt{6}}+sqrt{30-12sqrt{16}}
Đọc tiếp
Tính:
\(a,-0,8.\sqrt{\left(-0,125\right)^2}\)
\(b,\sqrt{\left(-2\right)^6}+\sqrt{\left(-3\right)^4}\)
\(c,\sqrt{3+2\sqrt{2}}-\sqrt{2}\)
\(d,\sqrt{9-4\sqrt{5}}-\sqrt{5}\)
\(e,\sqrt{16-6\sqrt{7}}-2\sqrt{7}\)
\(g,\sqrt{30+12\sqrt{6}}+\sqrt{30-12\sqrt{16}}\)
Rút gọn biểu thức:
\(\frac{\sqrt{3}+\sqrt{7}}{\sqrt{3}-\sqrt{7}}+\frac{\sqrt{3}-\sqrt{7}}{\sqrt{3}+\sqrt{7}}\)
18 tháng 5 2022 lúc 21:34
rút gọn M=\(\dfrac{\sqrt{\sqrt{7}-\sqrt{3}}-\sqrt{\sqrt{7}+\sqrt{3}}}{\sqrt{7}-2}\)
Tính :a ) Sfrac{1}{sqrt{1}sqrt{3}}+frac{1}{sqrt{3}+sqrt{5}}+frac{1}{sqrt{5}+sqrt{7}}+.....+frac{1}{sqrt{2017}+sqrt{2019}}b ) Sfrac{1}{sqrt{2}+sqrt{4}}+frac{1}{sqrt{4}+sqrt{6}}+....+frac{1}{sqrt{100}+sqrt{102}}c ) Sfrac{1}{sqrt{1}+sqrt{2}}+frac{1}{sqrt{2}+sqrt{3}}+.....+frac{1}{sqrt{100}+sqrt{101}}d ) Sfrac{1}{sqrt{3}+sqrt{6}}+frac{1}{sqrt{6}+sqrt{9}}+frac{1}{sqrt{9}+sqrt{12}}+....+frac{1}{sqrt{2016}+sqrt{2019}}
Đọc tiếp
Tính :
a ) \(S=\frac{1}{\sqrt{1}\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{5}}+\frac{1}{\sqrt{5}+\sqrt{7}}+.....+\)\(\frac{1}{\sqrt{2017}+\sqrt{2019}}\)
b ) \(S=\frac{1}{\sqrt{2}+\sqrt{4}}+\frac{1}{\sqrt{4}+\sqrt{6}}+....+\frac{1}{\sqrt{100}+\sqrt{102}}\)
c ) \(S=\frac{1}{\sqrt{1}+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+.....+\frac{1}{\sqrt{100}+\sqrt{101}}\)
d ) \(S=\frac{1}{\sqrt{3}+\sqrt{6}}+\frac{1}{\sqrt{6}+\sqrt{9}}+\frac{1}{\sqrt{9}+\sqrt{12}}+....+\frac{1}{\sqrt{2016}+\sqrt{2019}}\)
tính P= a3 +b3- 3(a+b)+2018. Biết
a=\(\sqrt[3]{5+2\sqrt{6}}+\sqrt[3]{5-2\sqrt{6}}\)
\(b=\sqrt[3]{17+12\sqrt{2}}+\sqrt[3]{17-12\sqrt{2}}\)
\(\frac{3-\sqrt{7}}{3+\sqrt{7}}\)- \(\frac{3+\sqrt{7}}{3-\sqrt{7}}\)
Tính :
a ) \(S=\frac{1}{3\sqrt{1}+3\sqrt{3}}+\frac{1}{3\sqrt{3}+3\sqrt{5}}+...+\)\(\frac{1}{3\sqrt{2017}+3\sqrt{2019}}\)
b ) \(S=\frac{7}{\sqrt{2.2}+\sqrt{2.3}}+\frac{7}{\sqrt{2.3}+\sqrt{2.4}}\)\(+...+\frac{7}{\sqrt{2.2018}+\sqrt{2.2019}}\)