Question
Which two integers is between 
?
- -6 and -5
- 3 and 4
- 5 and 6
- -4 and -3
Hint:
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: 3 and 4
Here the number we have given is 
. 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 35 we will stop that.
Let's start with 1, we have:
Lets equate this now:
25 < 35 < 36
Taking square root on all, we get:
Simplifying it, we get:
Adding negative sign, we get:
So here we can see that is lying between -5 and -6.
Here we were given the number 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 -5 and -6.
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