Chapter 11.2, Problem 41CCR

To determine

To find: Estimate each square root to nearest integer.

Answer to Problem 41CCR

Closest integer to $-\sqrt{52}$ is $-7$

Explanation of Solution

Given information:

  $-\sqrt{52}$

  $-\sqrt{52}$

The first perfect square less than $52$ is $49$ that is $\sqrt{49}=7$

The first perfect square greater than $52$ is $64$ that is $\sqrt{64}=8$

So, the negative square root of $52$ is between the integers $-7$ and $-8$

Since $52$ is closer to $49$ than to $64$ .

So, $-\sqrt{52}$ is closer to $-7$ than to $-8$

Therefore,

Closest integer to $-\sqrt{52}$ is $-7$