\(2\sqrt{3+\sqrt{5-\sqrt{13+4\sqrt{3}}}}=2\sqrt{3+\sqrt{5-\sqrt{12+4\sqrt{3}+1}}}\)
\(=2\sqrt{3+\sqrt{5-\sqrt{\left(2\sqrt{3}+1\right)^2}}}\)
\(=2\sqrt{3+\sqrt{5-2\sqrt{3}-1}}\)
\(=2\sqrt{3+\sqrt{3-2\sqrt{3}+1}}\)
\(=2\sqrt{3+\sqrt{3}-1}=2\sqrt{2+\sqrt{3}}\)
\(\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
Tinh gia tri bieu thuc
Tinh gia tri bieu thuc \(\sqrt{\frac{5+2\sqrt{6}}{5-\sqrt{6}}+\sqrt{\frac{5-2\sqrt{6}}{5+\sqrt{6}}}}\)
Tinh gia tri bieu thuc \(\sqrt{\frac{5+2\sqrt{6}}{5-\sqrt{6}}}+\sqrt{\frac{5-2\sqrt{6}}{5+\sqrt{6}}}\)
\(\sqrt{\sqrt{5}-\sqrt{3-\sqrt{29-6\sqrt{20}}}}\)
So cuoi la 20 nhe
Tinh gia tri bieu thuc
\(\left(\frac{\sqrt{14}-\sqrt{7}}{1-\sqrt{2}}+\frac{5-\sqrt{5}}{1-\sqrt{5}}\right):\frac{1}{\sqrt{7}-\sqrt{5}}\)
Tinh gia tri bieu thuc
Tinh gia tri bieu thuc
\(\left(\sqrt{\frac{25}{16}-\sqrt{\frac{9}{16}}}\right):5\)
Tinh Gia tri bieu thuc \(\frac{1}{\sqrt{7-\sqrt{24}}+1}-\frac{1}{\sqrt{7+\sqrt{24}+1}}\)
Tinh gia tri bieu thuc \(\frac{1}{\sqrt{7}-\sqrt{24}+1}-\frac{1}{\sqrt{7}+\sqrt{24}+1}\)
cho \(f=\frac{\sqrt{x}-1}{\sqrt{x}-2}\)tinh gia tri bieu thuc f khi x\(=\frac{2+\sqrt{3}}{2}\)