Perfect Square Examples
Example 1: Identify the first two perfect squares.
Solution:
First two perfect squares are obtained by squaring the first two whole numbers:
- 12=1 (Square of 1 is 1)
- 22= 42 (Square of 2 is 4)
Therefore, first two perfect squares are 1 and 4.
Example 2: If a number is a perfect square and its square root is 9, what is the number?
Solution:
If a number is a perfect square and its square root is 9, we can find the number by squaring the square root:
92 = 81
So, required number is 81, as it is a perfect square, and its square root is 9.
Example 3: If a number is a perfect square and its square root is a prime number, find the number.
Take the prime number 5. The square of 5 is 25 (52=25). Here, 25 is a perfect square, and 5 is a prime number.
So, the number we’re looking for is 25, where the square root (5) is a prime number
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