2024 AIME II Problems/Problem 15

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Problem: Suppose we have $69$ chicken eggs and $696$ egg eggs. Find the square root of the total number of true eggs that are 69able.

Solution: Using the \[Egger's Eg(g)regious Eggo Eggnog Egg law\], we can use the $monkey math law$ to find the total number of true eggs. Thus, we have 69696 total true eggs that are 69able. Then we square root and this yields $\boxed{264}$.