Chapter SH, Problem 10.1.17EP

To determine

To calculate: Square root of the given number to the nearest integer.

Answer to Problem 10.1.17EP

Square root of the $-\sqrt{88.8}$ is $9$ .

Explanation of Solution

Given information:

Given number: $-\sqrt{88.8}$

Calculation:

For finding out the square root of the $-\sqrt{88.8}$ ,

  $-88.8$ is a non terminating and non-repeating decimal. You cannot finish to finding it. But start with number whose square is close to $-88.8$ .

Now divide $-88.8$ by $2$ to get first guess for the square root.

  $\frac{-88.8}{2}=44.1$

And now divide $810$ by last answer that is $405$ to get answer.

  $\frac{44.1+88.8}{2}=66.45$

So, after trial and error method closer answer up to nearest integer as follows:

  $\begin{array}{l}-\sqrt{88.8}\approx -9.423375\\ -\sqrt{88.8}\approx -9\end{array}$

So answer is $9$ .