Question

find the sum of non square numbers between the squares of 58 and 59​

Answer 1

There are 116 non square numbers between the squares of 58 and 59​.

If 2 consecutive numbers are represented as n and (n+1), then we know that the number of non square numbers lying between the squares of n² and (n+1)² is equal to 2n.

From the problem, the consecutive numbers are 58 and 59.

So, n = 58

Thus, the number of non square numbers between 58 and 59 is = (2×58) = 116.

Or, it is calculated as (59² - 58² - 1) = 116.

So, the answer is 116.