SSC CGL 2025 PYQ — Question 52

SSC CGL - 22 Sep 2025 - Shift 2 • Quantitative Aptitude • Q52

Simplify: (3+2)2(\sqrt{3} + \sqrt{2})^2

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 5 + 26\sqrt6.

(a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2

(3+2)2(\sqrt{3} + \sqrt{2})^2

=(3)2+(2)2+2×3×2= (\sqrt{3})^2 + (\sqrt{2})^2 + 2 \times \sqrt{3} \times \sqrt{2}

=3+2+26= 3 + 2 + 2\sqrt{6}

=5+26= 5 + 2\sqrt{6}