Chapter 11.5, Problem 17WE

To determine

Tosolve: $\pm \sqrt{\frac{100f^{10}}{121}}$ .

Answer to Problem 17WE

  $\pm \frac{10\left|f^5\right|}{11}$

Explanation of Solution

By using the property of radical number such as $\sqrt{a^2}=\left|a\right|$ , the given equation $\pm \sqrt{\frac{100f^{10}}{121}}$ can be simplified as

  $\begin{array}{l}=\pm \sqrt{{\left(\frac{10f^5}{11}\right)}^2}\\ =\pm \left|\frac{10f^5}{11}\right|\\ =\pm \frac{10\left|f^5\right|}{11}\end{array}$