How many numbers lie between squares of the following numbers?
(i) 12 and 13 (ii) 25 and 26 (iii) 99 and 100
We know that there will be 2n numbers in between the squares of the numbers n and (n + 1).
(i) Between 122 and 132, there will be 2 × 12 = 24 numbers
(ii) Between 252 and 262, there will be 2 × 25 = 50 numbers
(iii) Between 992 and 1002, there will be 2 × 99 = 198 numbers