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\title{\textbf{Homework 1}}

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\textbf{Sections 1.2 and 1.3: \\
All: exercises 1.2.1, 1.2.5, 1.2.7(a,b), 1.2.8, 1.2.11(a,b), 1.2.12, 1.3.1. \\
Additional exercises for MTH 411: 1.2.7(c,d) and 1.2.11(c).}
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\textbf{Exercise 1.2.1.}
\begin{enumerate}
\item Prove that $\sqrt{3}$ is irrational. Does a similar argument work to show $\sqrt{6}$ is irrational?
\item Where does the proof of Theorem 1.1.1 break down if we try to use it to prove $\sqrt{4}$ is irrational?
\end{enumerate}
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\begin{proof}

Your proof here.

\end{proof}

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And so on...

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