Chapter 11.5, Problem 18WE

To determine

Tosolve: $\pm \sqrt{\frac{256}{400s^{12}}}$ .

Answer to Problem 18WE

  $\pm \frac{4}{5s^6}$

Explanation of Solution

By using the property of radical number such as $\sqrt{a^2}=\left|a\right|$ , the given equation $\pm \sqrt{\frac{256}{400s^{12}}}$ can be simplified as

  $\begin{array}{l}=\pm \sqrt{{\left(\frac{16}{20s^6}\right)}^2}\\ =\pm \left|\frac{16}{20s^6}\right|\\ =\pm \frac{4}{5s^6}\end{array}$