# Find if the given number is a Perfect Square

Special Numbers Loops Posted May 09, 2020

A Perfect square is a whole number which is produced by multiplying two equal integers. In other words, a number which has a square root as an integer is called a Perfect square. Examples are 1, 4, 9, 25, .. and such. For any given number, we would need to find if there is a number which multiplied by itself results in the same number.

This can be implemented in two ways: one by looping till half the number and check if at each iteration multiplying the counter with itself results in the number.

public static bool IsPerfectSquare(int n)
{
for (int i = 1; i <= n / 2; i++)
{
if (i * i == n)
{
return true;
}
}

return false;
}

Or by using the Math library and find the square root of the number. Then see if the obtained square root is an integer or not.

public static bool IsPerfectSquareBySqRoot(int n)
{
double root = Math.Sqrt(n);

if (root - Math.Floor(root) == 0)
{
return true;
}

return false;
}

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