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SSC CHSL 2025 · PYQ · Surds and Indices · medium

What is the integer part of the value of the expression x = 1/(√121 − √120)?

  1. A.12
  2. B.22
  3. C.21
  4. D.11✓ Correct

Explanation

Rationalizing: 1/(√121−√120) × (√121+√120)/(√121+√120) = (√121+√120)/(121−120) = √121+√120 = 11 + √120. √120 ≈ 10.95, so x ≈ 21.95. The integer part is 21, correctIndex = 2.
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