Chapter 11.6, Problem 2ST

To determine

To approximate: the given square root to the nearest tenth.

Answer to Problem 2ST

  $\sqrt{1700}=412.31$ .

Explanation of Solution

Given:

The given square root is $\sqrt{1700}$ .

Calculation:

As the given square root is $\sqrt{1700}$ .

Therefore, the given square root to the nearest tenth is

  $\begin{array}{l}\sqrt{1700}=\sqrt{17\times 100}\\ =\sqrt{17}\times \sqrt{100}\left\{\text{simplify}\right\}\\ =4.1231\times \sqrt{{10}^2}\{\because \sqrt{a^2}=a\}\\ =4.1231\times 100\\ =412.31\{\because \text{rond up to the nearest tenth}\}\end{array}$

Hence, the value of the given square root to the nearest tenth is $\sqrt{1700}=412.31$ .