Number Between Square Numbers


 
 
Concept Explanation
 

Number Between Square Numbers

Suppose there are two square numbers n2 and (n+1)2, then total numbers between these two squares are given by 2n.

Let’s say 42 and 52 are two squares.

42 = 16 and 52 = 25

We need to find the numbers present between 16 and 25

Here, n = 4

Therefore, total numbers between 16 and 25  = 24 = 2 x 4 = 8

Let us check  the numbers between 16 and 25 = 17, 18, 19, 20, 21, 22, 23, 24

As we can see, the numbers between 16 and 25 are 8. Therefore, the formula given above is applicable to all the squares.

Numbers Between large n^2 and large (n+1)^2  = 2n, where n is any natural number

Sample Questions
(More Questions for each concept available in Login)
Question : 1

Find the number of natural numbers lying in between the squares of 100 and 101.

Right Option : B
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Explanation
Question : 2

The number of natural numbers lying in between the squares of  238 and 239 , 800 and 801 respectively are _______________________ .

Right Option : D
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Explanation
Question : 3

How many natural numbers lie between squares of 13 and 14.

Right Option : B
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Explanation
 
 


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