=10( (1-√4)/(1-4) + (√4-√7)/(4-7)+.....+(√97-√100)/(97-100) )
=10 (1-100)/3
=-990/3 = -330
Mik cx l9
k hay ko tùy bn
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12 tháng 10 2019 lúc 14:44
tính
\(\frac{10}{1+\sqrt{4}}+\frac{10}{\sqrt{4}+\sqrt{7}}+\frac{10}{\sqrt{7}+\sqrt{10}}+...+\frac{10}{\sqrt{97}+\sqrt{100}}\)
tính:
a/\(\frac{6}{4+\sqrt{4-2\sqrt{3}}}\)
b/\(\sqrt{\sqrt{5}-\sqrt{3-\sqrt{29-12\sqrt{5}}}}\)
c/\(\frac{1}{\sqrt{2}+1}+\frac{1}{\sqrt{2}+\sqrt{3}}+\frac{1}{\sqrt{4}+\sqrt{3}}+....+\frac{1}{\sqrt{100}-\sqrt{99}}\)
d/\(\frac{1}{\sqrt{7-2\sqrt{10}}}+\frac{1}{\sqrt{7+2\sqrt{10}}}\)
\(\frac{6}{\sqrt{7}+2}+\sqrt{\frac{2}{8+3\sqrt{7}}}\)
\(\frac{8+2\sqrt{2}}{3-\sqrt{2}}-\frac{2+3\sqrt{2}}{\sqrt{2}}+\frac{\sqrt{2}}{1-\sqrt{2}}\)
C=\(\sqrt{4+\sqrt{10+2\sqrt{5}}}+\sqrt{4+\sqrt{10-2\sqrt{5}}}\)
Rút Gọn Afrac{left(frac{1}{4}-frac{sqrt{2}}{7}+frac{3sqrt{2}}{35}right)frac{1}{25}}{left(frac{1}{10}+frac{3sqrt{2}}{35}-frac{sqrt{2}}{5}right)frac{5}{7}} Bfrac{3+sqrt{5}}{sqrt{10}+sqrt{3+sqrt{5}}}-frac{3-sqrt{5}}{sqrt{10}+sqrt{3+sqrt{5}}} Cfrac{3+sqrt{5}}{sqrt{2}+sqrt{3+sqrt{5}}}-frac{3-sqrt{5}}{sqrt{2}-sqrt{3-sqrt{5}}}
Đọc tiếp
Rút Gọn A=\(\frac{\left(\frac{1}{4}-\frac{\sqrt{2}}{7}+\frac{3\sqrt{2}}{35}\right)\frac{1}{25}}{\left(\frac{1}{10}+\frac{3\sqrt{2}}{35}-\frac{\sqrt{2}}{5}\right)\frac{5}{7}}\)
B=\(\frac{3+\sqrt{5}}{\sqrt{10}+\sqrt{3+\sqrt{5}}}-\frac{3-\sqrt{5}}{\sqrt{10}+\sqrt{3+\sqrt{5}}}\)
C=\(\frac{3+\sqrt{5}}{\sqrt{2}+\sqrt{3+\sqrt{5}}}-\frac{3-\sqrt{5}}{\sqrt{2}-\sqrt{3-\sqrt{5}}}\)
Rút gọn biểu thức:
a,\(\frac{3+\sqrt{5}}{\sqrt{10}+\sqrt{3+\sqrt{5}}}-\frac{3-\sqrt{5}}{\sqrt{10}+\sqrt{3-\sqrt{5}}}\)
\(b,\sqrt{4+\sqrt{7}}-\sqrt{4-\sqrt{7}}-\sqrt{2}\)
Rút gọn
a)\(\frac{2\sqrt{5\:\:\:}-4\sqrt{10}}{3\sqrt{10}}\)
b)\(\frac{6\sqrt{6}-2\sqrt{12}+3-\sqrt{2}}{2\sqrt{6}+1}\)
c)\(\frac{5\sqrt{7}-4\sqrt{35}+7\sqrt{5}}{\sqrt{35}}\)
d)\(\left(\sqrt{3}-1\right)\sqrt{2\sqrt{19+8\sqrt{3}}-4}\)
Rút gọn \(\frac{\sqrt{7-2\sqrt{10}}\left(7+2\sqrt{10}\right)\left(74-22\sqrt{10}\right)}{\sqrt{125}-4\sqrt{50}+5\sqrt{20}+\sqrt{8}}\)
Rút gọn : \(A=\frac{\sqrt{7-2\sqrt{10}}\left(7+2\sqrt{10}\right)\left(74-22\sqrt{10}\right)}{\sqrt{125}-4\sqrt{50}+5\sqrt{20}+\sqrt{8}}\)
\(\frac{1}{3\sqrt{2}+2\sqrt{3}}+\frac{1}{4\sqrt{3}+3\sqrt{4}}+...+\frac{1}{10\sqrt{9}+9\sqrt{10}}\)