Ta có: \(6\sqrt{2}+\sqrt{6-\sqrt{11}}-\sqrt{6+\sqrt{11}}\)
\(=\dfrac{12+\sqrt{12-2\sqrt{11}}-\sqrt{12+2\sqrt{11}}}{\sqrt{2}}\)
\(=\dfrac{12+\sqrt{11}-1-\sqrt{11}-1}{\sqrt{2}}\)
\(=5\sqrt{2}\)
a)\(\sqrt{2+\sqrt{2+\sqrt[]{2+\sqrt{2+...}}}}\)
b)\(\sqrt{6+\sqrt{6+\sqrt{6+\sqrt{6+...}}}}\)
MINH CAN GAP A
\(\sqrt{11+6\sqrt{2}}-\sqrt{11-6\sqrt{2}}\)
\(\sqrt{3-2\sqrt{2}}-\sqrt{11+6\sqrt{2}}\)
\(\sqrt{4-2\sqrt{3}}-\sqrt{7-4\sqrt{3}}+\sqrt{19+8\sqrt{3}}\)
\(\sqrt{6-2\sqrt{5}}+\sqrt{9+4\sqrt{5}}-\sqrt{14-6\sqrt{5}}\)
\(\sqrt{11-4\sqrt{7}}+\sqrt{23-8\sqrt{7}}+\sqrt{\left(-2^6\right)}\)
rút gọn:giải chi tiết hộ mình nha
D=\(\sqrt{5+2\sqrt{2+2\sqrt{1+2\sqrt{2}+\sqrt{14-11\sqrt{2}+\sqrt{11-6\sqrt{2}}}}}}\)
giúp mk vs ạ......nội trong tối nay nha
cảm ơn các bạn trc
Rút gọn :
a. \(\sqrt{6+2\sqrt{5}}+\sqrt{6-2\sqrt{5}}\)
b.\(\sqrt{8-2\sqrt{7}}-\sqrt{8+2\sqrt{7}}\)
c.\(\sqrt{11+6\sqrt{2}}-\sqrt{11-6\sqrt{2}}\)
d.\(\sqrt{3+2\sqrt{2}}+\sqrt{6-4\sqrt{2}}\)
thu gọn bth
a, \(\sqrt{33-12\sqrt{6}}+\sqrt{15+6\sqrt{6}}\)
b, \(\dfrac{\sqrt{99}}{\sqrt{11}}+\dfrac{\sqrt{28}}{\sqrt{7}}-\sqrt{\sqrt{81}}\)
\(\dfrac{6}{\sqrt{5}+\sqrt{11}}\)-\(\dfrac{11+\sqrt{11}}{\sqrt{11}+1}\)+\(\dfrac{1}{2\sqrt{5}}\)
O = \(\dfrac{\left(49-20\sqrt{6}\right)\left(5+2\sqrt{6}\right)\sqrt{5+2\sqrt{6}}}{9\sqrt{3}-11\sqrt{2}} \)
Tính giá trị của O
Giúp mk vs nha
Tính giá trị các biểu thức:
A = \(\sqrt{8+2\sqrt{7}}-\sqrt{8-2\sqrt{7}}\)
B = \(\sqrt{11-6\sqrt{2}}+\sqrt{6-4\sqrt{2}}\)
