Question

How many non square numbers lie between the following pair of numbers.
i) 100² and 101²
ii) 90² and 91²
iii) 1000² and 1001²


Please answer my question​

Answer 1

(i) Between 100² and 101² Here, n=100 n x2 = 100 x 2 = 200

• 200 non-square numbers lie between 1002 and 101²

(ii) Between 90² and 91²

Here, n=90 2 x n = 2 x 90 or 180

180 non-square numbers lie between 90 and 91.

(iii) Between 1000² and 1001²

Here, n = 1000 2 x n = 2 x 1000 or 2000

• 2000 non-square lie between 10002 and 10012.