Violympic toán 9
Các câu hỏi tương tự
tính
\(\frac{10}{1+\sqrt{4}}+\frac{10}{\sqrt{4}+\sqrt{7}}+\frac{10}{\sqrt{7}+\sqrt{10}}+...+\frac{10}{\sqrt{97}+\sqrt{100}}\)
Rút gọn biểu thức sau :
A = \(\frac{1}{4\sqrt{1}+1\sqrt{4}}+\frac{1}{7\sqrt{4}+4\sqrt{7}}+\frac{1}{10\sqrt{7}+7\sqrt{10}}...+\frac{1}{2007\sqrt{2004}+2004\sqrt{2007}}\)
a. P (3+sqrt{2}+sqrt{6})(sqrt{6-3sqrt{3}})
b. A(frac{15}{sqrt{6}+1}+frac{4}{sqrt{6}-2}-frac{12}{3-sqrt{6}}): (sqrt{6}+11)
c. B frac{sqrt{8-2sqrt{12}}}{sqrt{3}-1}-sqrt{8}
d. C sqrt{4+sqrt{7}}-sqrt{4-sqrt{7}}-sqrt{2}
đ. Dfrac{1}{sqrt{2}-sqrt{3}}sqrt{frac{3sqrt{2}-2sqrt{3}}{3sqrt{2}+2sqrt{3}}}
e. E sqrt{8+2sqrt{10+2sqrt{5}}}+sqrt{8-2sqrt{10+2sqrt{5}}}
ê. G sqrt{4+5sqrt{3}+5sqrt{48-10sqrt{7+4sqrt{3}}}}
g. Hfrac{2sqrt{4+sqrt{5+21+sqrt{80}}}}{sqrt{10}-sqrt{2}}
i. Isqrt{frac{4-sqrt{7}}{4+sqrt{7...
Đọc tiếp
a. P= (\(3+\sqrt{2}+\sqrt{6}\))(\(\sqrt{6-3\sqrt{3}}\))
b. A=(\(\frac{15}{\sqrt{6}+1}+\frac{4}{\sqrt{6}-2}-\frac{12}{3-\sqrt{6}}\)): (\(\sqrt{6}+11\))
c. B= \(\frac{\sqrt{8-2\sqrt{12}}}{\sqrt{3}-1}\)-\(\sqrt{8}\)
d. C= \(\sqrt{4+\sqrt{7}}-\sqrt{4-\sqrt{7}}-\sqrt{2}\)
đ. D=\(\frac{1}{\sqrt{2}-\sqrt{3}}\sqrt{\frac{3\sqrt{2}-2\sqrt{3}}{3\sqrt{2}+2\sqrt{3}}}\)
e. E= \(\sqrt{8+2\sqrt{10+2\sqrt{5}}}+\sqrt{8-2\sqrt{10+2\sqrt{5}}}\)
ê. G= \(\sqrt{4+5\sqrt{3}+5\sqrt{48-10\sqrt{7+4\sqrt{3}}}}\)
g. H=\(\frac{2\sqrt{4+\sqrt{5+21+\sqrt{80}}}}{\sqrt{10}-\sqrt{2}}\)
i. I=\(\sqrt{\frac{4-\sqrt{7}}{4+\sqrt{7}}}+\sqrt{\frac{4+\sqrt{7}}{4-\sqrt{7}}}\)
k. K=\(\frac{3+\sqrt{5}}{\sqrt{2}+\sqrt{3+\sqrt{5}}}+\frac{3-\sqrt{5}}{\sqrt{2}-\sqrt{3-\sqrt{5}}}\)
tinnh D = \(\left(\frac{\sqrt{21}-\sqrt{7}}{\sqrt{3}-1}+\frac{\sqrt{10}-\sqrt{5}}{\sqrt{2}-1}\right):\frac{1}{\sqrt{7}-\sqrt{5}}\)
bài 1 : rút gọn
a)sqrt{7-2sqrt{10}}+sqrt{7+2sqrt{10}}
b)sqrt{8+2sqrt{15}}-sqrt{8-2sqrt{15}}
c)sqrt{3-sqrt{5}}+sqrt{3+sqrt{5}}
bài 2
a)frac{sqrt{7}-sqrt{14}}{1-sqrt{2}}
b)frac{sqrt{6}-5sqrt{3}}{2sqrt{2}-10}
c) frac{7-2sqrt{10}}{5-sqrt{10}}
Đọc tiếp
bài 1 : rút gọn
a)\(\sqrt{7-2\sqrt{10}}+\sqrt{7+2\sqrt{10}}\)
b)\(\sqrt{8+2\sqrt{15}}-\sqrt{8-2\sqrt{15}}\)
c)\(\sqrt{3-\sqrt{5}}+\sqrt{3+\sqrt{5}}\)
bài 2
a)\(\frac{\sqrt{7}-\sqrt{14}}{1-\sqrt{2}}\)
b)\(\frac{\sqrt{6}-5\sqrt{3}}{2\sqrt{2}-10}\)
c) \(\frac{7-2\sqrt{10}}{5-\sqrt{10}}\)
Rút gọn biểu thức :
a) \(A=\sqrt{4+\sqrt{7}}+\sqrt{4-\sqrt{7}}\)
b) \(B=\frac{2+\sqrt{6}+\sqrt{10}+\sqrt{2}+\sqrt{3}+\sqrt{5}}{\sqrt{8}+\sqrt{12}+\sqrt{20}}.\frac{\sqrt{2}-1}{3}\)
Tính :
a, \(B=\sqrt{3-\sqrt{5}}\left(\sqrt{10}-\sqrt{2}\right)\left(3+\sqrt{5}\right)\)
b, \(A=\sqrt{4+\sqrt{10+2\sqrt{5}}}+\sqrt{4-\sqrt{10+2\sqrt{5}}}\)
c, \(C=\frac{1}{\sqrt{3}}+\frac{1}{3\sqrt{2}}-\frac{\sqrt{5-2\sqrt{6}}}{3}\)
Rút gọn
a, frac{2sqrt{3-1}}{sqrt{15}}-frac{2-sqrt{5}}{sqrt{3}}-frac{4sqrt{15}-10sqrt{3}}{15}
b, left(sqrt{a}-frac{1}{sqrt{a}}right)left(frac{sqrt{a}+1}{sqrt{a-1}}+frac{sqrt{a-1}}{sqrt{a}+1}right)
c, sqrt{4+sqrt{7}-sqrt{4-sqrt{7}}}
d, 6+2sqrt{2}.3-sqrt{4+sqrt{2sqrt{3}}}
e, sqrt{5}-sqrt{3-sqrt{29-12sqrt{5}}}
Help me !!!
Đọc tiếp
Rút gọn
a, \(\frac{2\sqrt{3-1}}{\sqrt{15}}-\frac{2-\sqrt{5}}{\sqrt{3}}-\frac{4\sqrt{15}-10\sqrt{3}}{15}\)
b, \(\left(\sqrt{a}-\frac{1}{\sqrt{a}}\right)\left(\frac{\sqrt{a}+1}{\sqrt{a-1}}+\frac{\sqrt{a-1}}{\sqrt{a}+1}\right)\)
c, \(\sqrt{4+\sqrt{7}-\sqrt{4-\sqrt{7}}}\)
d, \(6+2\sqrt{2}.3-\sqrt{4+\sqrt{2\sqrt{3}}}\)
e, \(\sqrt{5}-\sqrt{3-\sqrt{29-12\sqrt{5}}}\)
Help me !!!
❤ Tính:
a) sqrt{5-sqrt{21}}-sqrt{5+sqrt{21}}
b)sqrt{13-sqrt{160}}-sqrt{53+4sqrt{90}}
c)sqrt{7+sqrt{24}}+sqrt{31-sqrt{600}}
d)sqrt{28-sqrt{300}}+sqrt{4-sqrt{12}}
e)sqrt{7-sqrt{40}}-sqrt{5-sqrt{24}}-sqrt{6-sqrt{20}}
f)sqrt{48-10sqrt{7+sqrt{48}}}
g) frac{1}{1-sqrt{2}}-frac{1}{sqrt{2}-sqrt{3}}+frac{1}{sqrt{3}-sqrt{4}}-frac{1}{sqrt{4}-sqrt{5}}+...+frac{1}{sqrt{15}-sqrt{16}}
Đọc tiếp
❤ Tính:
a) \(\sqrt{5-\sqrt{21}}-\sqrt{5+\sqrt{21}}\)
b)\(\sqrt{13-\sqrt{160}}-\sqrt{53+4\sqrt{90}}\)
c)\(\sqrt{7+\sqrt{24}}+\sqrt{31-\sqrt{600}}\)
d)\(\sqrt{28-\sqrt{300}}+\sqrt{4-\sqrt{12}}\)
e)\(\sqrt{7-\sqrt{40}}-\sqrt{5-\sqrt{24}}-\sqrt{6-\sqrt{20}}\)
f)\(\sqrt{48-10\sqrt{7+\sqrt{48}}}\)
g) \(\frac{1}{1-\sqrt{2}}-\frac{1}{\sqrt{2}-\sqrt{3}}+\frac{1}{\sqrt{3}-\sqrt{4}}-\frac{1}{\sqrt{4}-\sqrt{5}}+...+\frac{1}{\sqrt{15}-\sqrt{16}}\)