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\lhead{\large\bfseries{Math 103 \\ Professor Busken \\ Chapter 7 Worksheet 1}}
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\begin{document}

\begin{questions}

\begin{EnvFullwidth}

\noindent \textbf{Find the square root of each.}\\

\noindent\underline{\hspace*{\textwidth}}
\end{EnvFullwidth}

\question \ \ $\sqrt{100}$ \vspace*{-0.35in} \answerline

\vspace*{0.2 in}

\question \ \ $\sqrt{64}$ \vspace*{-0.35in} \answerline

\vspace*{0.2in}

\question \ \ $-\sqrt{81}$ \vspace*{-0.35in} \answerline

\vspace*{0.2 in}

\question \ \ $-\sqrt{121}$ \vspace*{-0.35in} \answerline

\vspace*{0.2 in}

\question \ \ $\sqrt{-16}$ \vspace*{-0.35in} \answerline

\question \ \ \ $\sqrt{\displaystyle\frac{1}{4}}$ \vspace*{-0.35in} \answerline

\vspace*{0.2 in}

\question \ \ \ $-\sqrt{\displaystyle\frac{49}{16}}$ \vspace*{-0.35in} \answerline

\vspace*{0.2 in}

\question \ \ \ $-\sqrt{\displaystyle\frac{4}{25}}$ \vspace*{-0.35in} \answerline

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\noindent\underline{\hspace*{\textwidth}}

\noindent \textbf{Find the cube root of each.}
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\question \ \ \ $\sqrt[3]{8}$ \vspace*{-0.35in} \answerline

\vspace*{0.15 in}

\question \ \ \ $\sqrt[3]{-8}$ \vspace*{-0.35in} \answerline

\vspace*{0.15 in}

\question \ \ \ $-\sqrt[3]{\ds\frac{1}{8}}$ \vspace*{-0.35in} \answerline

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\noindent \textbf{Find the fourth root of each.}
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\question \ \ \ $\sqrt[4]{1}$ \vspace*{-0.35in} \answerline

\vspace*{0.15 in}

\question \ \ \ $-\sqrt[4]{\ds\frac{1}{16}}$ \vspace*{-0.35in} \answerline

\vspace*{0.15 in}

\question \ \ \ $\sqrt[4]{-16}$ \vspace*{-0.35in} \answerline

\vspace*{0.15 in}

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\noindent \textbf{Simplify each radical expression as much as possible. Assume all variables represent nonnegative numbers.}

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\question \ \ \ $\sqrt[]{4x^2}$ \vspace*{-0.35in} \answerline
\vspace*{0.15 in}

\newpage
\vspace*{-1 in}

\question \ \ \ $\sqrt[3]{-8x^6y^9}$ \vspace*{-0.35in} \answerline

\vspace*{0.35 in}

\question \ \ \ $\sqrt[4]{\ds\frac{b^{12}}{16}}$ \vspace*{-0.35in} \answerline

\vspace*{0.35 in}
\question \ \ \ $\sqrt[5]{-32m^5}$ \vspace*{-0.35in} \answerline

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\noindent \textbf{Write each expression as a radical expression and then simplify the result, if possible.}

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\question \ \ \ $(-8)^{1/3}$ \vspace*{-0.35in} \answerline

\vspace*{0.15 in}

\question \ \ \ $-(144)^{1/2}$ \vspace*{-0.35in} \answerline

\vspace*{0.15 in}

\question \ \ \ $(-144)^{1/2}$ \vspace*{-0.35in} \answerline

\vspace*{0.15 in}

\question \ \ \ $\big(-144^{\frac{1}{2}}\big)$ \vspace*{-0.35in} \answerline

\vspace*{0.15 in}

\question \ \ \ $-(81)^{1/4}$ \vspace*{-0.35in} \answerline

\vspace*{0.15 in}

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\noindent \textbf{Write the radical expression with a rational exponent and then simplify the result, if possible.}\\%[0.15in]

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\question \ \ \ $\sqrt[4]{x^4y^8}$ \vspace*{-0.35in} \answerline

\vspace*{0.35 in}

\question \ \ \ $\sqrt[3]{x^6y^{18}}$\vspace*{-0.35in} \answerline

\vspace*{0.35 in}

\question \ \ \ $\sqrt[2]{\ds\frac{25x^2}{36}}$\vspace*{-0.35in} \answerline

\vspace*{0.35 in}

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\noindent \textbf{Simplify as much as possible.}\\%[0.15in]

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\question \ \ \ $9^{3/2}$ \vspace*{-0.35in} \answerline

\vspace*{0.25 in}

\question \ \ \ $16^{3/4}$ \vspace*{-0.35in} \answerline

\vspace*{0.25 in}

\question \ \ \ $8^{-2/3}$\vspace*{-0.35in} \answerline

\vspace*{0.25 in}
\question \ \ \ $\ds\biggr(\frac{16}{81}\biggr)^{-3/4}$ \vspace*{-0.35in} \answerline

\end{questions}

%\begin{center}
% \text{the square of 2 is 4 because $2^2=4$. }\\[0.15in]
%
% \text{ }\\[0.15in]
%
% \text{the square of $\displaystyle\frac{1}{3}$ is $\displaystyle\frac{1}{9}$ because $\displaystyle\biggr(\frac{1}{3}\biggr)^2=\frac{1}{9}$. }
%\end{center}

\end{document}

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