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IKMC 2022 - Grades 11-12 - Set 2 - Self-study Question 27

IKMC · IKMC 2022 - Grades 11-12 - Set 2 - Self-study

Question 27

For a positive integer N, how many integers lie strictly between $\sqrt{N^2+N+1}$ and $\sqrt{9N^2+N+1}$?
  1. $N+1$
  2. $2N-1$
  3. $2N$
  4. $2N+1$
  5. $3N$