Introduction:
To find the smallest 8-digit number which is a perfect square, we need to understand what a perfect square is and how we can determine its smallest value within the given constraints.

Definition of a Perfect Square:
A perfect square is a number that can be expressed as the product of a whole number multiplied by itself. In other words, it is the square of an integer. For example, 9 is a perfect square because it can be expressed as 3 * 3.

Method to Find the Smallest 8-Digit Perfect Square:
To find the smallest 8-digit perfect square, we need to determine the range of numbers we need to check and then iterate through this range until we find the smallest perfect square.

Step 1: Determine the Range of Numbers:
Since we are looking for an 8-digit perfect square, we need to find the smallest 8-digit number and its square root. The smallest 8-digit number is 10,000,000 and its square root is 3162.28 (approximately). Therefore, we need to check all the numbers from 3162 to 10,000 (inclusive) to find the smallest 8-digit perfect square.

Step 2: Iterate through the Range:
Starting from 3162, we will iterate through each number and check if it is a perfect square. To check if a number is a perfect square, we can calculate its square root and check if it is an integer.

Step 3: Check if the Number is a Perfect Square:
For each number in the range, we will calculate its square root using a mathematical operation or built-in functions in a programming language. If the square root is an integer (i.e., it does not have any decimal part), then the number is a perfect square.

Step 4: Find the Smallest 8-Digit Perfect Square:
We will continue iterating through the range until we find the smallest 8-digit perfect square. Once we find it, we can stop the iteration and declare the number as the answer.

Conclusion:
By following the above steps, we can find the smallest 8-digit perfect square by iterating through the range of numbers and checking if each number is a perfect square. This process ensures that we find the smallest 8-digit perfect square within the given constraints.

Smallest 8 digit number which is a perfect square is 1,00,00,000.