Chapter SH, Problem 10.1.14EP

To determine

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

Answer to Problem 10.1.14EP

Square root of the $-\sqrt{62}$ is $8$ .

Explanation of Solution

Given information:

Given number: $-\sqrt{62}$

Calculation:

For finding out the square root of the $-\sqrt{62}$ ,

  $62$ is a non terminating and non-repeating decimal. You cannot finish to finding it. But start with number whose square is close to $62$ .

Now divide $62$ by $2$ to get first guess for the square root.

  $\frac{62}{2}=31$

And now divide the $1.99$ by last answer that is $0.995$ to get final answer.

  $\frac{62}{31}=2$

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

  $62\approx 8$

So answer is $8$ .