Compare $\sqrt{0.1}$ and $0.3$.

Compare $\sqrt{0.1}$ and $0.3$.
  1. $\sqrt{0.1} > 0.3$
  2. $\sqrt{0.1} < 0.3$
  3. Equal
  4. Cannot say

Solution

$0.3^{2} = 0.09 < 0.1$, so $0.3 < \sqrt{0.1}$.

Asked in: IMO

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