\section{Squares, Cubes, and Roots}

Now, take a look at scales A and B, and note the label on the right: $x^2$. If C, D are $x$, A and B are $x^2$, and K is $x^3$.

\medskip

Finding squares of numbers up to ten is straightforward: just read the scale. \\
Square roots are also easy: find your number on B and read its pair on C. \\


\def\sliderulewidth{13}
\begin{center}
\begin{tikzpicture}[scale=1]
	\abscale{0}{1}{B}
	\cdscale{0}{0}{C}
\end{tikzpicture}
\end{center}

\problem{}
Compute the following.
\begin{enumerate}
	\item $1.5^2$
	\item $3.1^2$
	\item $7^3$
	\item $\sqrt{14}$
	\item $\sqrt[3]{150}$
\end{enumerate}

\begin{solution}
	\begin{enumerate}
		\item $1.5^2 = 2.25$
		\item $3.1^2 = 9.61$
		\item $7^3 = 343$
		\item $\sqrt{14} = 3.74$
		\item $\sqrt[3]{150} = 5.313$
	\end{enumerate}
\end{solution}

\vfill
\problem{}
Compute the following.
\begin{enumerate}
	\item $42^2$
	\item $\sqrt{200}$
	\item $\sqrt{2000}$
	\item $\sqrt{0.9}$
	\item $\sqrt[3]{0.12}$
\end{enumerate}

\begin{solution}
	\begin{enumerate}
		\item $42^2 = 1,764$
		\item $\sqrt{200} = 14.14$
		\item $\sqrt{2000} = 44.72$
		\item $\sqrt{0.9} = 0.948$
		\item $\sqrt[3]{0.12} = 0.493$
	\end{enumerate}
\end{solution}


\vfill
\pagebreak