state gov UPSSSC PET Mock Test Series 2025 (New) Quantitative Aptitude Number System Rational or Irrational Numbers
\(x = \sqrt {2 + \frac{{\sqrt 7 }}{2}} - \sqrt {2 - \frac{{{\kern 1pt} \sqrt 7 }}{2}} \) then find the value of \(\frac{\sqrt{5} + x}{\sqrt{5} - x}\).
1
\(\frac{3 - \sqrt5}{2}\)
2
\(\frac{3 + \sqrt5}{2}\)
3
\(\frac{-4 + \sqrt5}{2}\)
4
\(\frac{4 + \sqrt5}{2}\)
5
None of the above