\(\sqrt{14-6\sqrt{5}}+\sqrt{14+6\sqrt{5}}=\sqrt{9-2.3\sqrt{5}+5}+\sqrt{9+2.3\sqrt{5}+5}\)
\(=\sqrt{\left(3-\sqrt{5}\right)^2}+\sqrt{\left(3+\sqrt{5}\right)^2}=3-\sqrt{5}+3+\sqrt{5}\)
\(=6\)
Rút gọn:
A=\(\sqrt{6-2\sqrt{5}}-\sqrt{6+2\sqrt{5}}\)
B=\(\sqrt{9+4\sqrt{5}}-\sqrt{9-4\sqrt{5}}\)
C=\(\sqrt{14-6\sqrt{5}-\sqrt{14+6\sqrt{5}}}\)
1) (\(5\sqrt{3}+2\sqrt{3}\)) (\(2\sqrt{3}-5\sqrt{2}\))
2) \(\sqrt{5+2\sqrt{ }6}-\sqrt{5-2\sqrt{ }6}\)
3)\(\sqrt{14}-6\sqrt{5}+\sqrt{14+6\sqrt{ }5}\)
Tính:
1) \(\sqrt{14-2\sqrt{33}}\)
2) \(\sqrt{12-2\sqrt{35}}\)
3) \(\sqrt{16-2\sqrt{55}}\)
4) \(\sqrt{14-6\sqrt{5}}\)
5) \(\sqrt{17-12\sqrt{2}}\)
6) \(\sqrt{27-12\sqrt{5}}\)
7) \(\sqrt{4+\sqrt{15}}\)
LÀM CHI TIẾT GIÚP MK NHÉ!
\(\dfrac{15}{\sqrt{6}-1}+\dfrac{8}{\sqrt{6}+2}+\dfrac{6}{3-\sqrt{6}}-9\sqrt{6}\)
\(\sqrt{\left(\sqrt{5}-1\right)\sqrt{14-6\sqrt{5}}}\)
a)\(\sqrt{25-4\sqrt{10-4\sqrt{15+4\sqrt{3}}}}\)
b)\(\sqrt{14-6\sqrt{5+\sqrt{14+6\sqrt{5}}}}\)
c)
Thực hiện phép tính:
a) \(\sqrt{21-6\sqrt{6}}\).
b) \(\sqrt{55-6\sqrt{6.}}\)
c) \(\sqrt{3+\sqrt{5}.}\)
d) \(\sqrt{14-6\sqrt{5}}+\sqrt{14+6\sqrt{5}}\)
b) \(\sqrt{9-4\sqrt{5}}\) + \(\sqrt{14-6\sqrt{5}}\)
Rút gọn:
a/ \(\left(4+\sqrt{3}\right).\sqrt{19-8\sqrt{3}}\)
b/ \(\sqrt{14-6\sqrt{5}}-\sqrt{14+6\sqrt{5}}\)
giúp em với ạ
\(\sqrt{5
+2\sqrt{ }6}\)
\(\sqrt{12+2\sqrt{ }35}-\sqrt{12-2\sqrt{ }35}\)
\(\sqrt{16+6\sqrt{ }7}\)
\(\sqrt{31-12\sqrt{ }3}\)
\(\sqrt{27+10\sqrt{ }2}\)
\(\sqrt{14+6\sqrt{ }5}\)
