Which is greater: $\sqrt[3]{100}$ or $4$?

Which is greater: $\sqrt[3]{100}$ or $4$?
  1. $\sqrt[3]{100}$
  2. $4$
  3. Equal
  4. Cannot say

Solution

$4^{3} = 64 < 100$, so $4 < \sqrt[3]{100}$.

Asked in: IMO

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