Chapter 1.3, Problem 21P

Estimate the square root. Round to the nearest integer.

$\sqrt{37.5}$

To determine

To calculate : the value of square root to the nearest integer

Answer to Problem 21P

6

Explanation of Solution

Given information : $\sqrt{37.5}$

Calculation : since $\sqrt{36.00}=6.0,\text{ and }\sqrt{49.00}=7.0$

  $\sqrt{37.5}$ lies between $\sqrt{36.00}\text{ and }\sqrt{49.00}$ and close to $\sqrt{36.00}$ .

Therefore, the nearest integer of $\sqrt{37.5}$ is $6.0$ .