Chapter 9.2, Problem 44E

To determine

Find the approximate square root to the nearest integer.

Answer to Problem 44E

The square root to the nearest integer is $9$ .

Explanation of Solution

Given:

It is given in the question that the root is $\sqrt{79}$ .

Concept Used:

In this, use the concept of identify two perfect squares closest to the given number.One before the number and one after.

Calculation:

Here, the root is $\sqrt{79}$ .

Now, find the two perfect squares closest to the number which is

  $8^2=64<79<81=9^2$

Hence, the square root of $79$ is somehow between $8$ and $9$ . Since the given number is much closer to $81=9^2$ than $8^2=64$ ,so it can be deduce that the closest integer to the square root is $9$ .

Conclusion:

The square root is $9$ .