Chapter 11.3, Problem 29WE

To determine

To express: The value of given square root.

Answer to Problem 29WE

The solution is $\pm \frac{1}{2}$ .

Explanation of Solution

Given:

The given square root is,

  $\pm \sqrt{\frac{33}{132}}$

Calculation:

The value of square root is calculated as,

  $\begin{array}{c}\pm \sqrt{\frac{33}{132}}=\pm \sqrt{\frac{33}{33\cdot 4}}\\ =\pm \sqrt{\frac{1}{4}}\\ =\pm \frac{1}{2}\end{array}$

Therefore, the solution is $\pm \frac{1}{2}$ .