$\sqrt{1} + \sqrt{4} + \sqrt{9} + \ldots + \sqrt{100}$ equals

$\sqrt{1} + \sqrt{4} + \sqrt{9} + \ldots + \sqrt{100}$ equals
  1. $55$
  2. $100$
  3. $45$
  4. $50$

Solution

$= 1 + 2 + 3 + \ldots + 10 = \dfrac{10 \cdot 11}{2} = 55$.

Asked in: IMO

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