Algebra-1 Problems

11.2 Positive, Perfect Square Radicands
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1.

Find the range of x for which the radical expression is a real number

\begin{equation}\sqrt{(8-x)}\end{equation}

2.

Find the range of x for which the radical expression is a real number

\begin{equation}\sqrt{((-9)x)}\end{equation}

3.

Find the range of x for which the radical expression is a real number

\begin{equation}\sqrt{((x-7)^{2})}\end{equation}

4.

Simplify

\begin{equation}\sqrt{((7x)^{2})}\end{equation}

5.

Simplify

\begin{equation}\sqrt{((x+9)^{2})}\end{equation}

6.

Simplify

\begin{equation}\sqrt{((9x+2)^{2})}\end{equation}

7.

Find the range of x for which the radical expression is a real number.

\begin{equation}\sqrt{(x^{2}-36)}\end{equation}