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SMO 2022 Senior Round 1 Question 2

SMO · SMO 2022 Senior Round 1

Question 2

Which of the following is true?
  1. $\sqrt[6]{1/333}\lt \sqrt[3]{1/18}\lt \sqrt{1/7}$
  2. $\sqrt[3]{1/18}\lt \sqrt[6]{1/333}\lt \sqrt{1/7}$
  3. $\sqrt[3]{1/18}\lt \sqrt{1/7}\lt \sqrt[6]{1/333}$
  4. $\sqrt{1/7}\lt \sqrt[6]{1/333}\lt \sqrt[3]{1/18}$
  5. None of the above.