\(\left(\sqrt{3}-1\right)\sqrt{6+2\sqrt{2}\sqrt{3-\sqrt{\sqrt{2}+\sqrt{12}+\sqrt{18-\sqrt{128}}}}}\)
Tính:
a)\(\sqrt{6+2\sqrt{2}\cdot\sqrt{3-\sqrt{\sqrt{2}+\sqrt{12}}\cdot\sqrt{18}-\sqrt{128}}}\)
b)\(\sqrt{6+2\cdot\sqrt{5-\sqrt{13+4\sqrt{3}}}}\)
\(\sqrt{6+2\sqrt{2}\cdot\sqrt{3-\sqrt{\sqrt{2}+\sqrt{12}+\sqrt{18}-\sqrt{128}}}}\)
rút gọn
\(\sqrt{6+2\sqrt{2}.\sqrt{3-\sqrt{\sqrt{2}+\sqrt{12}+\sqrt{18-\sqrt{128}}}}}\)
\(F=\sqrt{6+2\sqrt{2}.\sqrt{3-\sqrt{\sqrt{2}+\sqrt{12}+\sqrt{18+\sqrt{128}}}}}\)
Thu gọn các biểu thức:
\(B=\sqrt{18-4\sqrt{15}-4\sqrt{3}+2\sqrt{5}}-\sqrt{13-4\sqrt{3}}\)
\(C=\sqrt{28+12\sqrt{2}-4\sqrt{6}-12\sqrt{3}}-\sqrt{18+\sqrt{128}-\sqrt{96}-2\sqrt{48}}\)
\(D=\left(\sqrt{3}-1\right)\sqrt{6+2\sqrt{2}.\sqrt{3-\sqrt{\sqrt{2}+\sqrt{12+\sqrt{18-\sqrt{128}}}}}}\)
Tính:
a, A = \(\sqrt{6-2\sqrt{\sqrt{2}+\sqrt{12}+\sqrt{18-\sqrt{128}}}}\)
b, B = \(\sqrt{\sqrt{5}-\sqrt{3-\sqrt{29-12\sqrt{5}}}}\)
Thực hiện phép tính:
\(\left(\sqrt{6}+\sqrt{2}\right)\left(\sqrt{3}-2\right)\sqrt{\sqrt{3}+2}\)
\(\left(4+\sqrt{15}\right)\left(\sqrt{10}-\sqrt{6}\right)\sqrt{4-\sqrt{15}}\)
\(\sqrt{6-2\sqrt{\sqrt{2}+\sqrt{12}+\sqrt{18-\sqrt{128}}}}\)