Compare $2\sqrt{3}$ and $3\sqrt{2}$. Which is larger?

Compare $2\sqrt{3}$ and $3\sqrt{2}$. Which is larger?
  1. $3\sqrt{2}$
  2. $2\sqrt{3}$
  3. Equal
  4. Cannot compare

Solution

$(2\sqrt{3})^{2} = 12$, $(3\sqrt{2})^{2} = 18$. Since $18 > 12$, $3\sqrt{2} > 2\sqrt{3}$.

Asked in: MH-SSC-9

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