Properties of Perfect Square
Some important properties of perfect square are,
Result of Squaring an Integer | Perfect square is result of multiplying an integer by itself. |
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Negative Numbers Can Form Perfect Squares | Negative integers can form perfect square, e.g., (−4)2 = 16 |
Unique Square for Each Integer | Each integer has not a unique square. Two integers have one square, i.e. ‘a’ and ‘-a’ have same square. |
Zero is a Perfect Square | Zero is considered a perfect square because 02 = 0 |
Sum of Consecutive Odd Numbers | A perfect square is sum of consecutive odd numbers. |
Geometric Representation | Perfect square represents area of any figure. |
Perfect Square
Perfect Square is a number obtained by multiplying a whole number by itself, like 4 which is obtained when 2 is multiplied by itself, i.e. 2 × 2 = 4, thus 4 is a perfect square. In mathematical terms, the perfect square is expressed as a2.
In this article, we have covered the meaning and definition of perfect squares, methods of finding perfect squares, and a list of perfect squares and applications.
Table of Content
- What is Perfect Square?
- Perfect Square Definition
- How to Identify Perfect Square Numbers?
- Perfect Square Formula
- Perfect Squares Numbers from 1 to 100
- List of Perfect Squares from 1 to 100
- Properties of Perfect Square
- Perfect Square Chart
- Perfect Square – Tips and Tricks
- How many Perfect Squares are between 1 and 100?
- How many Perfect Squares are between 1 and 1000?
- Perfect Square Examples
- Practice Questions on Perfect Square