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\title{7.21.2025 AMC 10, 12 Free Class Slide}
\author{Enoch Yu}
\date{July 2025}

\begin{document}
\section*{Problem 1.} % 2011 AMC 10A Problem 16 (2\sqrt{6})
Simplify $\sqrt{9-6\sqrt{2}}+\sqrt{9+6\sqrt{2}}$.
(Source: AMC 10)

\newpage
\section*{Problem 2.} % 2014 AMC 10A Problem 18 (17)
Find the area of a square in the coordinate plane that has
vertices whose $y$-coordinates are $0$, $1$, $4$, and $5$.
(Source: AMC 10)

\newpage
\section*{Problem 3.} % 2017 AMC 10B Problem 24 (6\sqrt{3})
The vertices of an equilateral triangle lie on the hyperbola
$xy=1$, and a vertex of this hyperbola is the centroid of the
triangle. Find the area of the triangle. (Source: AMC 10)
\end{document}

