Mathematics
Grade-8
Easy

Question

Which two integers is square root of 131 between?

  1. -11 and -12
  2. -9 and -10
  3. -12 and -13
  4. -8 and -9

hintHint:

In this question we have given the square root number and we have to find in which two numbers it lies. Squares as well as square roots Both ideas are diametrically opposed to one another. Squares are the numbers that are produced when a value is multiplied by itself. In contrast, a number's square root is a value that, when multiplied by itself, returns the original value.

The correct answer is: -11 and -12


    Here the number we have given is square root of 131
. Now we have to find in which two numbers it lies. First we will find the squares of each number starting from 1 and then when we will reach till 131 we will stop that.
    Lets start with 1, we have:
    1 squared equals 1
2 squared equals 4
3 squared equals 9
4 squared equals 16
5 squared equals 25
6 squared equals 36
7 squared equals 49
8 squared equals 64
9 squared equals 81
10 squared equals 100
11 squared equals 121
12 squared equals 144
    Lets equate this now:
    121 < 131 < 144
    Taking square root on all, we get:
    square root of 121 space less than space square root of 131 space less than space square root of 144
    Simplifying it, we get:
    11 space less than space square root of 131 space less than space 12
    So here we can see that 131 is lying between 121 and 144, which is 112 and 122.

    Here we were given the number square root of 131 and we were supposed to find in between what numbers it lies. So we started of with finding the squares of number and computed in which number it lies, and we found that it lies in between 11 and 12.

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