This class will explore perfect square numbers, defining what they are, their properties, how to calculate them, and provide examples of square numbers.

What are Perfect Square Numbers

A perfect square number is the product of some integer with itself.

Examples of perfect square numbers include 1, 4, 9, 16, 25, etc., where each number is the square of integers 1, 2, 3, 4, 5, respectively.

Mathematical Representation of Perfect Square Numbers

Perfect Square numbers can be represented as following

n²

where n is an integer.

Examples: 1² = 1, 2² = 4, 3² = 9, 4² = 16, ...

Is 9 a perfect square number?

The number 9 is the perfect square of 3 (3x3), hence it is a square number.

Is 8 a perfect square number?

There is no integer whose square is 8, so it is not a perfect square number.

Perfect Square Numbers from 1 to 100

The square numbers within the range of 1 to 100 are:

• 1
• 4
• 9
• 16
• 25
• 36
• 49
• 64
• 81
• 100