Chapter 11.5, Problem 6OE

To determine

Tosolve: $\sqrt{\frac{x^2}{49}}$ .

Answer to Problem 6OE

  $\frac{\left|x\right|}{7}$

Explanation of Solution

By using the property of radical number such as $\sqrt{a^2}=\left|a\right|$ , the given equation $\sqrt{\frac{x^2}{49}}$ can be simplified as

  $\begin{array}{l}=\sqrt{{\left(\frac{x}{7}\right)}^2}\\ =\left|\frac{x}{7}\right|\\ =\frac{\left|x\right|}{7}\end{array}$