\(\sqrt{13-\sqrt{160}}-\sqrt{53+4\sqrt{90}}\)
\(=\sqrt{8-2.2\sqrt{2}.\sqrt{5}+5}-\sqrt{45+2.3\sqrt{5}.2\sqrt{2}+8}\)
\(=\sqrt{\left(2\sqrt{2}-\sqrt{5}\right)^2}-\sqrt{\left(3\sqrt{5}+2\sqrt{2}\right)^2}\)
\(=|2\sqrt{2}-\sqrt{5}|-|3\sqrt{5}+2\sqrt{2}|\)
\(=2\sqrt{2}-\sqrt{5}-3\sqrt{5}-2\sqrt{2}\)
\(=-4\sqrt{5}\)
Rút gọn:
B=\(\sqrt{13-\sqrt{160}}-\sqrt{53+4\sqrt{90}}\)
tính M =\(\sqrt{13-\sqrt{160-\sqrt{53+4\sqrt{90}}}}\)
Tính \(\sqrt{13-\sqrt{160}}-\sqrt{53+4\sqrt{90}}\)
Tính
a,\(\sqrt{15-6\sqrt{6}}+\sqrt{35-12\sqrt{6}}\)
b,\(\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{32}}\)
c,\(\sqrt{49-5\sqrt{96}}+\sqrt{49+5\sqrt{96}}\)
d,\(\sqrt{13-\sqrt{160}}+\sqrt{53+4\sqrt{90}}\)
Rút gọn
\(D=\sqrt{13-\sqrt{160}}-\sqrt{53+4\sqrt{90}}\)
\(\sqrt{13-\sqrt{160}}\)- \(\sqrt{53+4\sqrt{90}}\)= ?
Thực hiện phép tính
a, \(\sqrt{13-\sqrt{160}}-\sqrt{53+4\sqrt{90}}\)
b,\(\left(1+\sqrt{3}-\sqrt{2}\right)\cdot\left(1+\sqrt{3}+\sqrt{2}\right)\)
Rút Gọn \(A=\sqrt{12-\sqrt{160}}-\sqrt{53+4\sqrt{90}}\)
a) \(\sqrt{49-5\sqrt{96}}+\sqrt{49+5\sqrt{96}}\)
b) \(\sqrt{13-\sqrt{160}}-\sqrt{53+4\sqrt{90}}\)
c) \(\left(3\sqrt{2}+\sqrt{10}\right)\sqrt{38-12\sqrt{5}}\)
Giúp mình nhé, mình đang cần gấp :<<
