Question

Estimate the square root of 140 to the nearest integer?

Answer 1

Hint: To solve the given question, we should know the definition of nearest integer. The nearest integer has the same meaning as the rounding a number. We will first see the perfect square terms that are close to the 140. If there are more than one such number, we will choose the perfect square term that is nearest to the given number. By taking the square root of this perfect square term, we get the square root of 140 to the nearest integer.

Complete step by step answer:
We are asked to estimate the square root of 140 to the nearest integer.
So, let us first define the nearest integer. The nearest integer has the same meaning as the rounding a number.
So, here we have to find the perfect square numbers that are close to 140. We have two such numbers that are 121 and 144, which are the squares of 11 and 12 respectively. As there are more than one such number, we have to find the closest one to 140.
We can easily say that 144 is closer to 140 than 121 is. The square root of 144 is 12. So, the square root of 140 to the nearest integer is 12.
Thus, the answer is 12.

Note:
We can also solve the given problem as follows:
Using any simple calculator, we can find the approximate value of the square root of 140. We get this as 11.8, as we said earlier finding the nearest integer means rounding the square root. By rounding 11.8 to the nearest integer, we get 12. Thus, the answer is 12.