Chapter 4.6, Problem 43STP

To determine

To choose:the point onnumber line best represent .

Answer to Problem 43STP

The correct answer is C C

Explanation of Solution

Given information :

The expression is $\sqrt{210}$

The first perfect square less than 210 is 196

The first perfect square greater than 14 is 225.

  $\begin{array}{l}196<210<225\\ {14}^2<210<{15}^2\\ \sqrt{{14}^2}<210<\sqrt{{15}^2}\\ 14<\sqrt{210}<15\end{array}$

The square root of 210 is between the integers 14 and 15.Since 210 is closer to 196 than to 225.

Therefore, $\begin{array}{l}\sqrt{210}\approx 14\\ \sqrt{210}\approx 14.5\left[\text{use calculator}\right]\end{array}$

Hence, the correct answer is C C.