a) \(\sqrt{19-6\sqrt{2}}=3\sqrt{2}-1\)
b) \(\sqrt{11-6\sqrt{2}}=3-\sqrt{2}\)
d) \(\sqrt{21+12\sqrt{3}}=2\sqrt{3}+3\)
e) \(\sqrt{57-40\sqrt{2}}=4\sqrt{2}-5\)
a,\(\sqrt{8+2\sqrt{15}}\) -\(\sqrt{6+2\sqrt{15}}\)
b, \(\sqrt{17-2\sqrt{72}}-\sqrt{19+2\sqrt{18}}\)
c, \(\sqrt{8-2\sqrt{7}}+\sqrt{8+2\sqrt{7}}\)
d, \(\sqrt{12+2\sqrt{11}}-\sqrt{12-2\sqrt{11}}\)
e, \(\sqrt{10-2\sqrt{21}}-\sqrt{9-2\sqrt{14}}\)
a )\(\sqrt{21+12\sqrt{ }3}\)
b)\(\sqrt{57-40\sqrt{ }2}\)
c)\(\sqrt{11-6\sqrt{ }2}\)
Rút gọn:
a) \(\sqrt{15-6\sqrt{6}}+\sqrt{33-12\sqrt{6}}\)
b) \(\sqrt{\left(3+\sqrt{5}\right)^2}+\sqrt{14-6\sqrt{5}}\)
c) \(\dfrac{3}{2\sqrt{3}+3}+\dfrac{3}{2\sqrt{3}-3}\)
d) \(\sqrt{\left(\sqrt{3}+4\right)\sqrt{19-8\sqrt{3}}+3}\)
e) \(\dfrac{9-2\sqrt{3}}{3\sqrt{6}-2\sqrt{2}}+\dfrac{3}{3+\sqrt{6}}\)
Thực hiện phép tính (rút gọn biểu thức)
a) \(\sqrt{9+4\sqrt{5}}\) - \(\sqrt{9-4\sqrt{5}}\)
b) \(\sqrt{12-6\sqrt{3}}\) + \(\sqrt{12+6\sqrt{3}}\)
c) \(\sqrt{6\sqrt{2}+11}\) - \(\sqrt{11-6\sqrt{2}}\)
RÚT GỌN BIỂU THỨC
A=\(4-\sqrt{21-8\sqrt{5}}\)
B=\(\sqrt{4-2\sqrt{3}+1}\)
C=\(\sqrt{8+2\sqrt{15}}-\sqrt{5-2\sqrt{6}}\)
D=\(\sqrt{28-10\sqrt{3}}+\sqrt{4+2\sqrt{3}}\)
E=\(\sqrt{14-6\sqrt{5}}-\sqrt{21-8\sqrt{5}}\)
F=\(\sqrt{19-2\sqrt{40}}-\sqrt{19+3\sqrt{40}}\)
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 = \(\sqrt{6+2\sqrt{5}}-\sqrt{6-2\sqrt{5}}\)
Rút gọn : ( giúp với )
a) \(\dfrac{\sqrt{6}+\sqrt{10}}{\sqrt{21}+\sqrt{35}}\)
b) \(\dfrac{\sqrt{405}+3\sqrt{27}}{3\sqrt{3}+\sqrt{45}}\)
c) \(\dfrac{\sqrt{2}+\sqrt{3}+\sqrt{4}-\sqrt{6}-\sqrt{9}-\sqrt{12}}{\sqrt{2}+\sqrt{3}+\sqrt{4}}\)
d) \(\dfrac{\sqrt{6-2\sqrt{5}}}{\sqrt{5}-1}\)
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)\(\frac{\sqrt{3\left(3-\sqrt{11}\right)^2}}{\sqrt{6}\left(3-\sqrt{11}\right)}\)
d)\(\frac{5\sqrt{7}-4\sqrt{35}+7\sqrt{5}}{\sqrt{35}}\)
e) \(\left(\sqrt{3}-1\right)\sqrt{2\sqrt{19+8\sqrt{3}-4}}\)
g) \(\sqrt{47+\sqrt{5}}.\sqrt{7-\sqrt{2+\sqrt{5}}.}\sqrt{7+\sqrt{2+\sqrt{5}}}\)
Rút gọn:
A= \(\sqrt{6-2\sqrt{5}}\) C= \(\sqrt{19-8\sqrt{3}}\)
B = \(\sqrt{4-\sqrt{12}}\) D= \(\sqrt{5-2\sqrt{6}}\)
