SSC CGL 2019 PYQ — Question 46

SSC CGL Tier II - Quant 13th Sep. 19 • Quantitative Aptitude • Q46

The value of  (28+103)−7−43\sqrt{(28+10 \sqrt{3})}-\sqrt{7-4 \sqrt{3}} is closest to?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 6.5

(28+103)−7−43\sqrt{(28+10 \sqrt{3})}-\sqrt{7-4 \sqrt{3}}

= (5+3)2−(2−3)2\sqrt{(5+\sqrt3)^2}-\sqrt{(2-\sqrt3)^2}

= 5 + 3\sqrt3 - (2 - 3\sqrt3)

= 3 + 23\sqrt3

  3 + 3.46 = 6.46 = 6.5