\(\sqrt{2+\sqrt{3}}.\sqrt{2+\sqrt{2}+\sqrt{3}}.\sqrt{2-\sqrt{2}+\sqrt{3}}\)
\(\sqrt{(2+\sqrt{3}).(2+\sqrt{2}+\sqrt{3}).(2-\sqrt{2}+\sqrt{3})}\)
\(\sqrt{(2+\sqrt{3}).((2+\sqrt{3})^2-2)}\)
\(\sqrt{(2+\sqrt{3)}.(4+4\sqrt{3}+3-2)}\)
\(\sqrt{(2+\sqrt{3}).(5+4\sqrt{3})}\)
\(\sqrt{10+8\sqrt{3}+5\sqrt{3}+12}\)
\(\sqrt{22+13\sqrt{3}}\)
Rút gọn
\(\sqrt{2+\sqrt{3}}+\sqrt{2+\sqrt{2+\sqrt{3}}}+\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{3}}}}+\sqrt{2-\sqrt{2+\sqrt{2+\sqrt{3}}}}\)
Rút gọn biểu thức :
\(\sqrt{2+\sqrt{3}}.\sqrt{2+\sqrt{2+\sqrt{3}}}.\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{3}}}}.\sqrt{2-\sqrt{2+\sqrt{2+\sqrt{3}}}}\)
Rút gọn B=\(\sqrt{2+\sqrt{3}}.\sqrt{2+\sqrt{2+\sqrt{3}}}.\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{3}}}}\)\(.\sqrt{2-\sqrt{2+\sqrt{2+\sqrt{3}}}}\)
Rút gọn
C = 21(\(\sqrt{2+\sqrt{3}}\) -\(\sqrt{6-2\sqrt{5}}\))2-6(\(\sqrt{2-\sqrt{3}}\) +\(\sqrt{\left(3+\sqrt{5}\right)^2}\))
Rút gọn:
a,
\(\dfrac{\sqrt{2}+\sqrt{3}-1}{2+\sqrt{6}}-\dfrac{\sqrt{2}-\sqrt{3}}{2\sqrt{6}}\left(\dfrac{\sqrt{3}}{2-\sqrt{6}}+\dfrac{\sqrt{3}}{2+\sqrt{6}}\right)-\dfrac{1}{\sqrt{2}}\)
Rút gọn biểu thức
\(P=\sqrt{2+\sqrt{3}}.\sqrt{2+\sqrt{2+\sqrt{3}}}.\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{3}}}}.\sqrt{2-\sqrt{2+\sqrt{2+\sqrt{3}}}}\)
Rút gọn: \(\frac{2+\sqrt{3}}{\sqrt{2}+\sqrt{2+\sqrt{3}}}+\frac{2-\sqrt{3}}{\sqrt{2}-\sqrt{2-\sqrt{3}}}\)
Rút gọn biểu thức
\(2\sqrt{40\sqrt{12}}-2\sqrt{\sqrt{75}-3\sqrt{5\sqrt{48}}}\)
\(2\sqrt{5\sqrt{3}}-2\sqrt{8\sqrt{3}}-3\sqrt{20\sqrt{3}}\)
Help me plsssssss
Help me plssssssss
rút gọn biểu thức: A= \(\dfrac{\sqrt[3]{2}+\sqrt{7+2\sqrt{10}}+\sqrt[3]{3\sqrt[3]{4}-3\sqrt[3]{2}-1}}{\sqrt{5}+\sqrt{2}+1}\)
