\(\sqrt{21+2.3\sqrt{2}\sqrt{3}}+\sqrt{21-2.3\sqrt{2}\sqrt{3}}\)
\(=\sqrt{\left(3\sqrt{2}+\sqrt{3}\right)^2}+\sqrt{\left(3\sqrt{2}-\sqrt{3}\right)^2}=3\sqrt{2}+\sqrt{3}+3\sqrt{2}-\sqrt{3}=6\sqrt{2}\)
Tính:
\(\sqrt{21+6\sqrt{6}}-\sqrt{21-6\sqrt{6}}\)
Tính \(A=\sqrt{21+6\sqrt{6}}+\sqrt{21-6\sqrt{6}}\)
rút gọn E=\(\left(\sqrt{3+\sqrt{5}}+\sqrt{7+3\sqrt{5}}\right)\cdot\left(\sqrt{21+6\sqrt{6}}+\sqrt{21-6\sqrt{6}}\right)\)
Rút gọn M=\(\frac{\sqrt{21+3\sqrt{5}}+\sqrt{21-3\sqrt{5}}}{\sqrt{21}+6\sqrt{11}}+\sqrt{11-6\sqrt{2}}\)
Rút gọn:
\(A=\sqrt{5-2\sqrt{3-\sqrt{3}}}-\sqrt{3+\sqrt{3}}+\sqrt{2+\sqrt{3}}\)
\(B=\frac{\sqrt{21+3\sqrt{5}}+\sqrt{21-3\sqrt{5}}}{\sqrt{21}+6\sqrt{11}}+\sqrt{11-6\sqrt{2}}\)
Tính:
A =\(\sqrt{5-2\sqrt{3-\sqrt{3}}}-\sqrt{3+\sqrt{3}}+\sqrt{2+\sqrt{3}}\)
B= \(\frac{\sqrt{21+3\sqrt{5}}+\sqrt{21-3\sqrt{5}}}{\sqrt{21}+6\sqrt{11}}+\sqrt{11-6\sqrt{2}}\)
\(\sqrt{21-6\sqrt{6}}+\sqrt{9+2\sqrt{18}}-2\sqrt{6+3\sqrt{3}}\)
\(\sqrt{21-6\sqrt{6}}+\sqrt{9+2\sqrt{18}}-2\sqrt{6+3\sqrt{3}}\)
a.\(\sqrt{19-6\sqrt{2}}\) b.\(\sqrt{11-6\sqrt{2}}\) c.\(\sqrt{9-6\sqrt{2}}\)
d.\(\sqrt{21+12\sqrt{3}}\) e.\(\sqrt{57-40\sqrt{2}}\)
\(\sqrt{5+2\sqrt{6}}-\sqrt{5-2\sqrt{6}}\)
\(\sqrt{7+4\sqrt{3}}-\sqrt{\left(2-\sqrt{5}\right)^2}-\sqrt{21-8\sqrt{5}}\)
