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{(3-x)}\end{equation}

2.

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

\begin{equation}\sqrt{((-4)x)}\end{equation}

3.

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

\begin{equation}\sqrt{((x-5)^{2})}\end{equation}

4.

Simplify

\begin{equation}\sqrt{((5x)^{2})}\end{equation}

5.

Simplify

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

6.

Simplify

\begin{equation}\sqrt{((7x+10)^{2})}\end{equation}

7.

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

\begin{equation}\sqrt{(x^{2}-16)}\end{equation}