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IKMC 2025 - Grades 11-12 - Set 2 - Self-study Question 15

IKMC · IKMC 2025 - Grades 11-12 - Set 2 - Self-study

Question 15

What is the smallest positive integer N for which $\sqrt{2\sqrt{3\sqrt N}}$ is an integer?
  1. $2^{12}3^6$
  2. $2^4 3^{14}$
  3. $2^4 3^6 5^8$
  4. $2^4 3^2$
  5. Another number