\(=\sqrt{6-2\sqrt{5}}=\sqrt{5}-1\)
\(\sqrt{17-3\sqrt{32}-\sqrt{17+3\sqrt{32}}}\)
\(\sqrt{36-12\sqrt{5}-\sqrt{36+12\sqrt{5}}}\)
\(\sqrt{36-12\sqrt{5}-\sqrt{36+12\sqrt{5}}}\)
THỰC HIỆN PHÉP TÍNH
1,\(\sqrt{3+\sqrt{5}}.\sqrt{2}\)
2,\(\sqrt{3-\sqrt{5}.\sqrt{8}}\)
3,\((\sqrt{\dfrac{3}{4}}-\sqrt{3}+5\sqrt{\dfrac{4}{3})}.\sqrt{12}\)
4,\((\sqrt{\dfrac{1}{7}}-\sqrt{\dfrac{16}{7}}+\sqrt{7}):\sqrt{7}\)
5, \(\sqrt{36-12\sqrt{5}}:\sqrt{6}\)
6,\(\sqrt{3-\sqrt{5}:}\sqrt{2}\)
Rút gọn:
a/\(\sqrt{29-12\sqrt{5}}\)
b/\(\sqrt{30-12\sqrt{5}}\)
c/\(\sqrt{36-12\sqrt{5}}\)
d/\(\sqrt{35+12\sqrt{6}}\)
\(A=\sqrt{\frac{36-16\sqrt{5}}{12+2\sqrt{35}}}-\sqrt{\frac{81-36\sqrt{5}}{11+4\sqrt{7}}}\)
Tính:
\(A=\sqrt{38-12\sqrt{5}}+\sqrt{36+12\sqrt{5}}\)
rút gọn biểu thức
A=2015+\(\sqrt{36}\)-\(\sqrt{25}\)
B=5\(\sqrt{8}\)+\(\sqrt{50}\)-2\(\sqrt{18}\)
C=\(\sqrt{27}\)-2\(\sqrt{12}\)-\(\sqrt{75}\)
D=\(\sqrt{12}\)+\(\sqrt{27}\)-\(\sqrt{48}\)
1,Rút gọn:
\(\sqrt{38-12\sqrt{5}}+\sqrt{36+12\sqrt{5}}\)
1)\(\sqrt{36}-6\sqrt{\frac{2}{3}}+\frac{3}{3+\sqrt{6}}-\sqrt{10-4\sqrt{6}}\) 2) \(\sqrt{7-4\sqrt{3}}+\sqrt{4+2\sqrt{3}}-\sqrt{12+6\sqrt{3}}\)
Thực hiện phép tính và rút gọn
\(\sqrt{36-12\sqrt{5}}\)\(:\sqrt{6}\)
