Các câu hỏi tương tự
Rút gọn biểu thức:a)sqrt{4-sqrt{7}}-sqrt{4+sqrt{7}}b)frac{sqrt{3}+sqrt{11+6sqrt{2}}-sqrt{5+2sqrt{6}}}{sqrt{2}+sqrt{6+2sqrt{5}}-sqrt{7+2sqrt{10}}}c)5sqrt{3}+5sqrt{48-10sqrt{7+4sqrt{3}}}d)sqrt{4+sqrt{10+2sqrt{5}}}+sqrt{4-sqrt{10+2sqrt{5}}}e)sqrt{94-42sqrt{5}}-sqrt{94+42sqrt{5}}
Đọc tiếp
Rút gọn biểu thức:
a)\(\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}\)
b)\(\frac{\sqrt{3}+\sqrt{11+6\sqrt{2}}-\sqrt{5+2\sqrt{6}}}{\sqrt{2}+\sqrt{6+2\sqrt{5}}-\sqrt{7+2\sqrt{10}}}\)
c)\(5\sqrt{3}+5\sqrt{48-10\sqrt{7+4\sqrt{3}}}\)
d)\(\sqrt{4+\sqrt{10+2\sqrt{5}}}+\sqrt{4-\sqrt{10+2\sqrt{5}}}\)
e)\(\sqrt{94-42\sqrt{5}}-\sqrt{94+42\sqrt{5}}\)
1) left(sqrt{6}-sqrt{8}right)left(sqrt{6}+sqrt{8}right).2)left(3-sqrt{5}right)left(3+sqrt{5}right)3)sqrt{7-4sqrt{3}}+sqrt{7+4sqrt{3}}4)sqrt{2sqrt{3}-4}+sqrt{2sqrt{3}+4}5)sqrt{4sqrt{6}+11}-sqrt{11-4sqrt{6}}6)sqrt{10+2sqrt{11}}-sqrt{10-2sqrt{11}}7)sqrt{5-2sqrt{7-2sqrt{6}}}AI ĐÓ TỐT BỤNG GIÚP MK ZỚI:((
Đọc tiếp
1) \(\left(\sqrt{6}-\sqrt{8}\right)\left(\sqrt{6}+\sqrt{8}\right).\)
2)\(\left(3-\sqrt{5}\right)\left(3+\sqrt{5}\right)\)
3)\(\sqrt{7-4\sqrt{3}}+\sqrt{7+4\sqrt{3}}\)
4)\(\sqrt{2\sqrt{3}-4}+\sqrt{2\sqrt{3}+4}\)
5)\(\sqrt{4\sqrt{6}+11}-\sqrt{11-4\sqrt{6}}\)
6)\(\sqrt{10+2\sqrt{11}}-\sqrt{10-2\sqrt{11}}\)
7)\(\sqrt{5-2\sqrt{7-2\sqrt{6}}}\)
AI ĐÓ TỐT BỤNG GIÚP MK ZỚI:((
1) Rút gọn biểu thức:
a) \(\frac{1}{7+4\sqrt{3}}+\frac{1}{7-4\sqrt{3}}\)
b) \(\frac{15}{\sqrt{6}+1}+\frac{4}{\sqrt{6}-2}-\frac{12}{3-\sqrt{6}}-\sqrt{6}\)
c) \(\frac{5}{4-\sqrt{11}}+\frac{1}{3+\sqrt{7}}-\frac{6}{\sqrt{7}-2}-\frac{\sqrt{7}-5}{2}\)
d) \(\frac{4}{\sqrt{5}-\sqrt{2}}+\frac{3}{\sqrt{5}-2}-\frac{2}{\sqrt{3}-2}+\frac{\sqrt{3}-1}{6}\)
1/ frac{2}{3-sqrt{7}}sqrt{frac{6sqrt{2}-2sqrt{14}}{3sqrt{2}+sqrt{14}}}2/ sqrt{6+2sqrt{sqrt{5}-sqrt{13-sqrt{48}}}}3/ frac{sqrt{3-2sqrt{2}}}{sqrt{17-12sqrt{2}}}-frac{sqrt{3+2sqrt{2}}}{sqrt{17+12sqrt{2}}}4/ frac{24}{sqrt{7}+1}+frac{4}{3+sqrt{7}}-frac{3}{sqrt{7}+2}left(4-sqrt{7}right)5/ sqrt{7-3sqrt{5}}left(7+3sqrt{5}right)left(3sqrt{2}+sqrt{10}right)
Đọc tiếp
1/ \(\frac{2}{3-\sqrt{7}}\sqrt{\frac{6\sqrt{2}-2\sqrt{14}}{3\sqrt{2}+\sqrt{14}}}\)
2/ \(\sqrt{6+2\sqrt{\sqrt{5}-\sqrt{13-\sqrt{48}}}}\)
3/ \(\frac{\sqrt{3-2\sqrt{2}}}{\sqrt{17-12\sqrt{2}}}-\frac{\sqrt{3+2\sqrt{2}}}{\sqrt{17+12\sqrt{2}}}\)
4/ \(\frac{24}{\sqrt{7}+1}+\frac{4}{3+\sqrt{7}}-\frac{3}{\sqrt{7}+2}\left(4-\sqrt{7}\right)\)
5/ \(\sqrt{7-3\sqrt{5}}\left(7+3\sqrt{5}\right)\left(3\sqrt{2}+\sqrt{10}\right)\)
1. Tính:
a) \(\frac{\sqrt{7}-5}{2}-\frac{6-2\sqrt{7}}{4}+\frac{6}{\sqrt{7}-2}-\frac{5}{4+\sqrt{7}}\)
b) \(\frac{2}{\sqrt{6}-2}+\frac{2}{\sqrt{6}+2}+\frac{5}{\sqrt{6}}\)
c) \(\frac{1}{\sqrt{3}}+\frac{1}{3\sqrt{2}}+\frac{1}{\sqrt{3}}\sqrt{\frac{5}{12}-\frac{1}{\sqrt{6}}}\)
d) \(\frac{2\sqrt{3-\sqrt{3+\sqrt{13+\sqrt{48}}}}}{\sqrt{6}-\sqrt{2}}\)
tính
a, \(A=2\sqrt{12}-3\sqrt{48}+4\sqrt{75}\)
\(B=\sqrt{\frac{4-\sqrt{7}}{4+\sqrt{7}}}+\sqrt{\frac{4+\sqrt{7}}{4-\sqrt{7}}}\)
c, \(C=\frac{3-2\sqrt{3}}{\sqrt{3}}+\frac{6}{3+\sqrt{3}}\)
d,
Rút gọn biểu thức sau:
A = \(\sqrt{7+4\sqrt{3}}-\sqrt{7-4\sqrt{3}}\)
B = \(\sqrt{11+6\sqrt{2}}-\sqrt{11-6\sqrt{2}}\)
C = \(\sqrt{17+12\sqrt{2}}+\sqrt{17-12\sqrt{2}}\)
D = \(\sqrt{9+4\sqrt{5}}-\sqrt{9-4\sqrt{5}}\)
E = \(\sqrt{6+2\sqrt{5}}-\sqrt{6-2\sqrt{5}}\)
A=\(\sqrt{3+2\sqrt{2}}\)+\(\sqrt{3+2\sqrt{6}}\)
B=\(\sqrt{5+2\sqrt{6}}\)-\(\sqrt{5-2\sqrt{6}}\)
C=\(\sqrt{7+4\sqrt{3}}\)-\(\sqrt{7-4\sqrt{3}}\)
D=\(\sqrt{9-4\sqrt{5}}\)-\(\sqrt{9+4\sqrt{5}}\)
Rút gọn biểu thức
a) \(\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}+\sqrt{2}\)
b) \(\sqrt{6+\sqrt{11}}-\sqrt{6-\sqrt{11}}+3\sqrt{2}\)