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SSC PYQTier 1 2025

SSC CGL – Combined Graduate Level Examination · Question 73

If x = √[(2 + √3)/(2 - √3)], then determine the value of x² + x - 9.

  1. 3√3
  2. 5√3
  3. 7√3
  4. 9√3
Show answer & explanation

Answer: (B) 5√3

Explanation

(2 + √3)/(2 - √3) = (2 + √3)², so x = 2 + √3. Then x² + x - 9 = (7 + 4√3) + (2 + √3) - 9 = 5√3. (Verified against the official SSC answer key.)