\(=\sqrt{12-4\sqrt{3}+1}-\sqrt{13}+4\sqrt{3}=\sqrt{\left(2\sqrt{3}-1\right)^2}-\sqrt{13}+4\sqrt{3}\)
\(=2\sqrt{3}-1-\sqrt{13}+4\sqrt{3}=6\sqrt{3}-\sqrt{13}-1\)
Thực hiện phép tính
a, \(\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
b, \(\sqrt{5-\sqrt{13+4\sqrt{3}}}+\sqrt{3+\sqrt{13+4\sqrt{3}}}\)
c, \(\sqrt{1+\sqrt{3+\sqrt{13+4\sqrt{3}}}}+\sqrt{1-\sqrt{3-\sqrt{13-4\sqrt{3}}}}\)
d, \(\left(\sqrt{3}-\sqrt{2}\right)\sqrt{5+2\sqrt{6}}\)
Tính: \(\sqrt{1+\sqrt{3+\sqrt{13+4\sqrt{3}}}}+\sqrt{1-\sqrt{3-\sqrt{13-4\sqrt{3}}}}\)
c) \(\sqrt{5-\sqrt{13+4\sqrt{3}}}+\sqrt{3+\sqrt{13+4\sqrt{3}}}\)
d) \(\sqrt{\sqrt{5}-\sqrt{3}-\sqrt{29-12\sqrt{5}}}\)
tính:
a,\(\sqrt{9-4\sqrt{5}}-\sqrt{5}\)
b,\(\sqrt{7-4\sqrt{3}}+\sqrt{4-2\sqrt{3}}\)
c,\(\dfrac{x-49}{\sqrt{x}-7}\)
d,\(\sqrt{4+2\sqrt{3}}-\sqrt{13+4\sqrt{3}}\)
e,\(2+\sqrt{17-4\sqrt{9+4\sqrt{45}}}\)
bài 5 Tính:
a) \(\sqrt{6-2\sqrt{5}}\)
b)\(\sqrt{7-4\sqrt{3}}\)
c)\(\sqrt{3-2\sqrt{2}}\) -\(\sqrt{6-4\sqrt{2}}\)
d)\(\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
Rút gọn:
A = \(\sqrt{\left(2\sqrt{3}-3\sqrt{2}\right)^2}+\sqrt{13-4\sqrt{3}}-\sqrt{22+12\sqrt{2}}\)
rút gọn: \(\sqrt{7+4\sqrt{3}}+\sqrt{13-4\sqrt{3}}\)
Tính:
a, A = \(\sqrt{3+2\sqrt{2}}-\sqrt{6-4\sqrt{2}}\)
b, B = \(\sqrt{6-2\sqrt{5}+\sqrt{6+2\sqrt{5}}}\)
c, C = \(\sqrt{1+2\sqrt{1+2\sqrt{3+2\sqrt{2}}}}\)
d, D = \(\sqrt{6+2\sqrt{5-\sqrt{13+4\sqrt{3}}}}\)
e, E = \(\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
