Chapter 11.2, Problem 44CCR

To determine

To find: Estimate each square root to nearest integer.

Answer to Problem 44CCR

Closest integer to $\sqrt{140}$ is $12$

Explanation of Solution

Given information:

  $\sqrt{140}$

  $\sqrt{140}$

The first perfect square less than $140$ is $121$ that is $\sqrt{121}=11$

The first perfect square greater than $140$ is $144$ that is $\sqrt{144}=12$

So, the square root of $140$ is between the integers $11$ and $12$

Since $140$ is closer to $144$ than to $121$ .

So, $\sqrt{140}$ is closer to $12$ than to $11$

Therefore,

Closest integer to $\sqrt{140}$ is $12$