Chapter SH, Problem 10.1.12EP

To determine

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

Answer to Problem 10.1.12EP

Square root of the $\sqrt{7.3}$ is $3$ .

Explanation of Solution

Given information:

Given number: $\sqrt{7.3}$

Calculation:

For finding out the square root of the $7.3$ ,

  $7.3$ is a non terminating and non-repeating decimal. You cannot finish to finding it. But start with number whose square is close to $7.3$ .

Now divide $7.3$ by $2$ to get first guess for the square root.

  $\frac{7.3}{2}=3.65$

And now divide the $7.3$ by last answer that is $3.65$ to get final answer.

  $\frac{7.3}{3.65}=2$

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

  $7.3\approx 3$

So answer is $3$ .