Question

How to find a perfect square between two numbers ?

Answer 1

Example 1. Suppose there are two numbers 86 and 104 and you are required to find a number them which is a perfect square.

Find the square roots of 86 and 104. They are 9.2736 and 10.198. Find the integer/s between the two values of square roots which is 10 in this case. So the number is 10^2 = 100.

Example 2. Suppose there are two numbers 8717 and 12451 and you are required to find a number between them which is a perfect square.

Find the square roots of 8717 and 9587. They are 93.36 and 97.91. Find the integer/s between the two values of square roots which is 94 to 97 in this case. So the numbers are 94^2, 95^2, 96^2 and 97^2, or 8836, 9025, 9216, 9409.