Chapter 11.2, Problem 42CCR

To determine

To find: Estimate each square root to nearest integer.

Answer to Problem 42CCR

Closest integer to $-\sqrt{17}$ is $-4$

Explanation of Solution

Given information:

  $-\sqrt{17}$

  $-\sqrt{17}$

The first perfect square less than $17$ is $16$ that is $\sqrt{16}=4$

The first perfect square greater than $17$ is $25$ that is $\sqrt{25}=5$

So, the negative square root of $17$ is between the integers $-4$ and $-5$

Since $17$ is closer to $16$ than to $25$ .

So, $-\sqrt{17}$ is closer to $-4$ than to $-5$

Therefore,

Closest integer to $-\sqrt{17}$ is $-4$