\(\sqrt{17-3\sqrt{32}}-\sqrt{17+3\sqrt{32}}=\frac{\sqrt{2}\sqrt{17-3\sqrt{32}}-\sqrt{2}\sqrt{17+3\sqrt{32}}}{\sqrt{2}}\)
\(=\frac{\sqrt{34-2.3\sqrt{32}}-\sqrt{34+2.3\sqrt{32}}}{\sqrt{2}}\)
\(=\frac{\sqrt{\left(3\sqrt{2}\right)^2-2.3\sqrt{2}.4+4^2}-\sqrt{\left(3\sqrt{2}\right)^2+2.3\sqrt{2}.4+4^2}}{\sqrt{2}}\)
\(=\frac{3\sqrt{2}-4-3\sqrt{2}-4}{\sqrt{2}}=\frac{-8}{\sqrt{2}}=-4\sqrt{2}\)
\(\sqrt{17-3\sqrt{32}}+\sqrt{17-3\sqrt{32}}\)
Tính
\(\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{32}}\)
\(\sqrt{17-12\sqrt{2}}-\sqrt{24-8\sqrt{8}}\)
\(\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{32}}\)
\(\sqrt{11+6\sqrt{2}}-\sqrt{11-6\sqrt{2}}\)
cần gấp
Rút gọn biểu thức.
a) \(\sqrt{13+4\sqrt{10}}+\sqrt{13-4\sqrt{10}}\)
b) \(\sqrt{17-3\sqrt{32}}+\sqrt{17-3\sqrt{32}}\)
\(\sqrt{17-3\sqrt{32}}-\sqrt{17+3\sqrt{32}}\)
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,\(\sqrt{13-\sqrt{160}}+\sqrt{53+4\sqrt{90}}\)
\(\sqrt{17-3\sqrt{32}+\sqrt{17+3\sqrt{32}}}\)
làm giúp mình ạ
\(\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{32}}\) Tính? Giúp mình với các bạn
\(\sqrt{17-3\sqrt{ }32}+\sqrt{17+3\sqrt{ }32}\)
giải pt này giúp mình với mình đang cần gấp
