\(\sqrt{15-6\sqrt{6}}\)\(+\sqrt{33-12\sqrt{6}}\)=\(\sqrt{3^2-2\cdot3\cdot\sqrt{6}+\left(\sqrt{6}\right)^2}+\sqrt{\left(2\sqrt{6}\right)^2-2\cdot3\cdot2\sqrt{6}+3^2}\) =\(\sqrt{\left(3-\sqrt{6}\right)^2}+\sqrt{\left(2\sqrt{6}-3\right)^2}=3-\sqrt{6}+2\sqrt{6}-3=\sqrt{6}\)
\(\sqrt{15-\sqrt{216}+\sqrt{33-12\sqrt{6}}}\)
Rút gọn biểu thức sau :
\(\sqrt{15-\sqrt{216}}+\sqrt{33-12\sqrt{6}}\)
a) \(\sqrt{15-\sqrt{216}}+\sqrt{33-12\sqrt{6}}\)
b) \(\sqrt{8\sqrt{3}}-2\sqrt{25\sqrt{12}}+4\sqrt{\sqrt{192}}\)
c) \(\sqrt{2-\sqrt{3}}.\left(\sqrt{5}+\sqrt{2}\right)\)
Thực hiện phép tính:
a) \(2\sqrt{5}-\sqrt{125}-\sqrt{80}+\sqrt{605}\)
b) \(\sqrt{15-\sqrt{216}}+\sqrt{33-12\sqrt{6}}\)
c) \(\sqrt{8\sqrt{3}}-2\sqrt{25\sqrt{12}}+4\sqrt{\sqrt{192}}\)
\(\sqrt{15-6\sqrt{6}}+\sqrt{33-12\sqrt{6}}\)
\(\sqrt{15-6\sqrt{6}}+\sqrt{33-12\sqrt{6}}\)
Rút gọn biểu thức
\(\sqrt{15-6\sqrt{6}}+\sqrt{33-12\sqrt{6}}\)
Tính
G.\(\sqrt{7-2\sqrt{6}}\)
H.\(\sqrt{13-4\sqrt{3}}\)
I. \(\sqrt{7-4\sqrt{3}}\)\(-2\)
J.\(\sqrt{15-6\sqrt{6}}\)+\(\sqrt{33-12\sqrt{6}}\)
a : \(\sqrt{3-2\sqrt{2}}+\sqrt{\left(2-\sqrt{2}\right)^2}\)
b : \(\sqrt{33-12\sqrt{6}}-\sqrt{\left(5-2\sqrt{6}\right)^2}\)
c : \(\sqrt{7-2\sqrt{6}}+\sqrt{15-6\sqrt{6}}\)
