Chapter 11.4, Problem 37WE

To determine

To calculate:The square root of the given number to the nearest tenth.

Answer to Problem 37WE

  $\pm 88.3$

Explanation of Solution

After simplifying

  $\begin{array}{l}\pm \sqrt{7800}\\ =\pm \sqrt{100.78}\\ =\pm 10\sqrt{78}\end{array}$ ,

value of

  $\sqrt{78}=8.832$ ,

Thus

  $\begin{array}{l}\pm 10\sqrt{78}\\ \approx \pm 10\left(8.832\right)\\ =\pm 88.32\\ =\pm 88.3\end{array}$