- Ta có: \(A=\frac{\sqrt{x+1}}{\sqrt{x-1}}\)
- Thay \(x=\frac{16}{9}\)vào đa thức \(A,\)ta có:
\(A=\frac{\sqrt{\frac{16}{9}+1}}{\sqrt{\frac{16}{9}-1}}\)
\(\Leftrightarrow A=\frac{\sqrt{\frac{25}{9}}}{\sqrt{\frac{7}{9}}}\)
\(\Leftrightarrow A=\frac{5\sqrt{7}}{7}\)
Vậy \(A=\frac{5\sqrt{7}}{7}\)
Thay x = 16/9 vào biểu thức, ta có:
\(\frac{\sqrt{\frac{16}{9}+1}}{\sqrt{\frac{16}{9}-1}}=\frac{\sqrt{\frac{25}{9}}}{\sqrt{\frac{7}{9}}}=\frac{\frac{5}{3}}{\frac{\sqrt{7}}{3}}=\frac{5\sqrt{7}}{5}\)
