Perfect Square Formula

What are perfect squares?

A number or polynomial which when multiplied by itself results in a perfect square.

What are examples of perfect squares?

Some examples of perfect square includes:

  • 4 = 22
  • 9 = 32
  • 16 = 42
  • 25 = 52

What is the perfect square rule?

Perfect squares are numbers or expressions that are product of the number multiplied by itself. Perfect square rule is a number which when multiplied by itself result in a perfect square.

How do you find the perfect square?

As, we known perfect numbers are numbers which are formed when a number is multiplied by itself. Thus, prime factorization is used to find perfect squares.

What are the first 100 perfect squares?

Perfect squares up to 100 include 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100.



Perfect Square Formula

Perfect Square Formula: A polynomial or number which when multiplied by itself is called a perfect square. The perfect square is calculated by two algebraic expressions that include: (a + b)² = a² + 2ab + b² and (a – b)² = a² – 2ab + b².

In this article, we have covered the perfect square definition, how to identify perfect square, perfect square formulas, and other related topics in detail.

Table of Content

  • What is the Perfect Square Formula?
  • How to Identify Perfect Square
  • Perfect Square Formula
    • Proof of Perfect Square Formula
  • Perfect Squares from 1 to 100
  • Perfect Square Examples

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