Question

How many numbers lie between squares of the following numbers? a) 12 and 13 b) 25 and 26​

Answer 1

Answer:

between 12 and 13, 25 squares lie ....

and between 25 and 26,50 squares lie

Answer 2

Hey Mate ,

Here is a specific formula derived to find total no. of natural numbers lying in between squares of 2 numbers .

That is - : In between 2 natural no. [ n and n+1 ] .. no. lying in between them is 2n .

So,

¹✓ Between 12 and 13 , if 12 is considered as ( n ) and 13 as ( n+1 )

12² = 144

13² = 169

If n = 12

2n = 12 × 2 = 24

So, 24 numbers are lying in between 12 and 13 .

²✓ Between 25 and 26 , if 25 is ( n ) and 26 is ( n+1 )

25² = 625

26² = 676

If n = 25

2n = 25 × 2 = 50

So, 50 numbers are lying in between 25 and 26 .

hope it helps!