Properties of square numbers are:
Square Root of a Number
Finding the number whose square is known is known as finding the square root. Finding square root is inverse operation of finding the square of a number.
Estimating Square Roots
Estimating the square root of 247:
But it is not very close.
256 is much closer to 247 than 225.
Therefore, is approximately equal to 16.
Numbers between Square Numbers
There are 2n non-perfect square numbers between squares of the numbers n and (n + 1), where n is any natural number.
2m, (m2−1) and (m2+1) forms a Pythagorean triplet.
For m = 2, 2m = 4, m2−1 = 3 and m2+1 = 5.
So, 3, 4, 5 is the required Pythagorean triplet.