EMNA Q.42

0. Which of the following is true?

  • Option : D
  • Explanation : (√2+√5)² = 2 + 2√10 +5 =7+2√10
    (√7)² = 7
    ∴ √2+√5> 7
    Alternatively:
    √2 > √1 and √5 > √4
    ∴ √2+√5 > 2+1 
    => √2 + √5 > 3 and √7 < √9 = 3
    => √7 < 3. 
    so √2 + √5>√7
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