Question

How many numbers lie between squares of the following numbers ?
(1) 12 and 13
(ii) 25 and 26
(iii) 99 and 100​

Answer 1

the square of 12 and 13 will have 25 numbers

Answer 2

: Required Answer

➝ Between n2 and (n+1)2, there are 2n non–perfect square numbers.

i. 122 and 132 there are 2×12 = 24 natural numbers.

ii. 252 and 262 there are 2×25 = 50 natural numbers.

iii. 992 and 1002 there are 2×99 =198 natural numbers.