SSC CGL 2025 PYQ — Question 55

The correct answer is option 3 i.e. $\frac{\sqrt7}{2}$.

$\frac{1}{\sqrt7-\sqrt3}+\frac{1}{\sqrt7+\sqrt3}$

$=\frac{\sqrt7+\sqrt3+\sqrt7-\sqrt3}{(\sqrt7-\sqrt3)(\sqrt7+\sqrt3)}$

$=\frac{2\sqrt7}{(\sqrt7)^2-(\sqrt3)^2}$

$=\frac{2\sqrt7}{7-3}$

= (2√7)/4

= √7/2