Chapter 11.3, Problem 14WE

To determine

To express: The value of given square root.

Answer to Problem 14WE

The solution is $\pm \left(\frac{1}{16}\right)$ .

Explanation of Solution

Given:

The given square root is,

  $\pm \sqrt{\frac{1}{256}}$

Calculation:

The value of square root is calculated as,

  $\begin{array}{c}\pm \sqrt{\frac{1}{256}}=\pm \sqrt{\frac{1\cdot 1}{16\cdot 16}}\\ =\pm \frac{1}{16}\end{array}$

Therefore, the solution is $\pm \left(\frac{1}{16}\right)$ .