Chapter 11.3, Problem 26WE

To determine

To express: The value of given square root.

Answer to Problem 26WE

The solution is $\pm \frac{2}{3}$ .

Explanation of Solution

Given:

The given square root is,

  $\pm \sqrt{\frac{92}{207}}$

Calculation:

The value of square root is calculated as,

  $\begin{array}{c}\pm \sqrt{\frac{92}{207}}=\pm \sqrt{\frac{23\cdot 4}{23\cdot 9}}\\ =\pm \sqrt{\frac{4}{9}}\\ =\pm \frac{2}{3}\end{array}$

Therefore, the solution is $\pm \frac{2}{3}$ .