Các câu hỏi tương tự
Rút gọn a)\(\sqrt{21+8\sqrt{5}}\)+\(\sqrt{9-4\sqrt{5}}\) b) \(\frac{\sqrt{10}+\sqrt{15}}{\sqrt{8}+\sqrt{12}}\)
So sánh \(\sqrt{7}\)_\(\sqrt{8}\)và \(\sqrt{2}-\sqrt{3}\)
Trục căn thức ở mẫu và rút gọn:
a) \(\frac{20}{3+\sqrt{5}+\sqrt{2+2\sqrt{5}}}\)
b) \(\frac{\sqrt{15-10\sqrt{2}}+\sqrt{13+4\sqrt{10}}-\sqrt{11+2\sqrt{10}}}{2.\sqrt{3+2\sqrt{5}}+\sqrt{9-4\sqrt{2}}+\sqrt{12+8\sqrt{2}}}\)
1) Rút gọn a)Asqrt{13+30sqrt{2+sqrt{9+4sqrt{2}}}}b)Bsqrt{8+2sqrt{10+2sqrt{5}}}+sqrt{8-2sqrt{10+2sqrt{5}}}c)Pfrac{1}{sqrt{8}+sqrt{7}}+sqrt{175}-2sqrt{2}2) Rút gọnsqrt{0,25sqrt{961}+2sqrt{10}+sqrt{15}+sqrt{6}}3) So sánha)sqrt{4+sqrt{7}}-sqrt{4-sqrt{7}}-sqrt{2} và 0b)sqrt{2002}+sqrt{2004} và 2sqrt{2003}
Đọc tiếp
1) Rút gọn
a)A=\(\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
b)B=\(\sqrt{8+2\sqrt{10+2\sqrt{5}}}+\sqrt{8-2\sqrt{10+2\sqrt{5}}}\)
c)P=\(\frac{1}{\sqrt{8}+\sqrt{7}}+\sqrt{175}-2\sqrt{2}\)
2) Rút gọn
\(\sqrt{0,25\sqrt{961}+2\sqrt{10}+\sqrt{15}+\sqrt{6}}\)
3) So sánh
a)\(\sqrt{4+\sqrt{7}}-\sqrt{4-\sqrt{7}}-\sqrt{2}\) và 0
b)\(\sqrt{2002}+\sqrt{2004}\) và \(2\sqrt{2003}\)
1) Rút gọn
\(A=\sqrt{\frac{8+\sqrt{15}}{2}}+\sqrt{\frac{8-\sqrt{15}}{2}}\)
2) So sánh: \(A=\sqrt{4-\sqrt{15}}\left(4+\sqrt{15}\right)\left(\sqrt{10}-\sqrt{6}\right)\)và \(\sqrt{3}\)
Rút gọn : \(\frac{1}{\sqrt{1}-\sqrt{2}}-\frac{1}{\sqrt{2}-\sqrt{3}}+\frac{1}{\sqrt{3}-\sqrt{4}}-\frac{1}{\sqrt{4}-\sqrt{5}}+\frac{1}{\sqrt{5}-\sqrt{6}}-\frac{1}{\sqrt{6}-\sqrt{7}}+\frac{1}{\sqrt{7}-\sqrt{8}}-\frac{1}{\sqrt{8}-\sqrt{9}}\)
bài 1 rút gọna)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) \(\frac{7-2\sqrt{10}}{5-\sqrt{10}}\)
B1: rút gọn biểu thức:
a, \(\frac{\left(4\sqrt{21}-4\sqrt{15}-\sqrt{4}+\sqrt{10}\right)}{4\sqrt{6}-2+4\sqrt{15}-\sqrt{10}}\)
b, \(\left(\sqrt{5}+\sqrt{3}\right)\sqrt{8-2\sqrt{15}}\)
c, \(\sqrt{3-\sqrt{5}}-\sqrt{3+\sqrt{5}}\)
d, \(\left(2-\sqrt{3}\right)\left(\sqrt{6}+\sqrt{2}\right)\sqrt{2+\sqrt{3}}\)
Rút gọn \(\frac{1}{\sqrt{1}-\sqrt{2}}-\frac{1}{\sqrt{2}-\sqrt{3}}+\frac{1}{\sqrt{3}-\sqrt{4}}-\frac{1}{\sqrt{4}-\sqrt{5}}+\frac{1}{\sqrt{5}-\sqrt{6}}+\frac{1}{\sqrt{6}-\sqrt{7}}+\frac{1}{\sqrt{7}-\sqrt{8}}+\frac{1}{\sqrt{8}-\sqrt{9}}\)
Rút gọn các biểu thức sau:
a) \(0,2\sqrt{\left(-10\right)^2.3}+2\sqrt{\left(\sqrt{3}-\sqrt{5}\right)^2}\) b) \(\left(15\sqrt{50}+5\sqrt{200}-3\sqrt{450}\right):\sqrt{10}\)
c) \(\left(\frac{2\sqrt{3}-\sqrt{6}}{\sqrt{8}-2}-\frac{\sqrt{216}}{3}\right):\sqrt{6}\) d) \(\frac{\sqrt{5+2\sqrt{6}}+\sqrt{8-2\sqrt{15}}}{\sqrt{7+2\sqrt{10}}}\)