SSC CGL 2021 PYQ — Question 65

SSC CGL - 24 Aug 2021 - Shift 2 • Quantitative Aptitude • Q65

The value of is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. - 3(2 + √3)

= 22×(12)2+(2)23×(2)2−22×1\dfrac{2^2\times(\frac{1}{\sqrt2})^2+({2})^2}{\sqrt{3}\times(\sqrt2)^2-2^2\times1}

= 2+423−4\dfrac{2+{4}}{2\sqrt{3}-4}

=33−2×3+23+2\dfrac{3}{\sqrt3-2}\times\dfrac{\sqrt3+2}{\sqrt3+2}

= 3(2 + √3)/(-1)

=  - 3(2 + √3)