\(\sqrt{13-\sqrt{100}}-\sqrt{53+4\sqrt{90}}\)
\(=\sqrt{13-10}-\sqrt{\left(2\sqrt{2}+3\sqrt{5}\right)^2}\)
\(=\sqrt{3}-2\sqrt{2}-3\sqrt{5}\)
\(\sqrt{13-\sqrt{160}}-\sqrt{53+4\sqrt{90}}\)
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
\(D=\sqrt{13-\sqrt{160}}-\sqrt{53+4\sqrt{90}}\)
Thực hiện phép tinh:
a)\(\sqrt{12}+2\sqrt{27}+3\sqrt{75}-9\sqrt{48}\)
b) \(2\sqrt{3}.\left(\sqrt{27}+2\sqrt{48}-\sqrt{75}\right)\)
c) \(\left(1+\sqrt{3}-\sqrt{2}\right).\left(1+\sqrt{3}+\sqrt{2}\right)\)
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,\(\left(1+\sqrt{3}-\sqrt{2}\right)\cdot\left(1+\sqrt{3}+\sqrt{2}\right)\)
