Pre-Algebra · Superchallenge problem

For each whole number $n$, let $f(n)$ be the largest whole number that is less than or equal to $\sqrt{n}$. For example, $f(10) = 3$ because $3 \le \sqrt{10} < 4$. Find $f(1) + f(2) + f(3) + \cdots + f(50)$.