SSC CGL 2025 PYQ — Question 75

The correct answer is option 1 i.e. $\sqrt{3}$ + 2.

$\sqrt{(7 + 4\sqrt{3})}$

$=\sqrt{(4+3 + 2\times2\times\sqrt{3})}$

$=\sqrt{[2^2+(\sqrt3)^2 + 2\times2\times\sqrt{3}]}$

$=\sqrt{(2+\sqrt3)^2}$

$=\sqrt3 +2$