There are 10 numbers who are perfect squares.
What is Square of a number?
When an integer is multiplied by the same integer, the resultant number is known as a square number. For example, when we multiply 5 × 5 = 52, we get 25. Here, 25 is a square number. Square numbers are always positive, they cannot be negative because when a negative number is multiplied by the same negative number, it results in a positive number.
Properties of Square Numbers
The properties of square numbers are listed below which helps to identify them easily.
- Square numbers always end with the digits 0, 1, 4, 5, 6, and 9. For example, 25, 49, 81, 100, etc are perfect squares, whereas, 37, 48, 22, etc are not considered to be perfect square numbers.
- The number of zeros at the end of a square number is always even. This means if a number has an odd number of zeros at the end, then the number is not a square number. For example, 400, 3600 are square numbers, whereas, 10, 250, and 360 are non-square numbers.
- If a number has 1 or 9 as its last digit, then its square number ends with 1. For example, the square of 9 is 81, and the square of 11 is 121.
- If a number has 4 or 6 as its last digit, then its square number ends with 6. For example, the square of 4 is 16, and the square of 26 is 676.
- The square of even numbers is always even, and the square of odd numbers is always odd. For example, the square of 12 is 144, and the square of 13 is 169.
- Square numbers are always positive because two negative signs multiplied by each other result in a positive sign. For example, (-6)2 = -6 × -6 = 36 . Here, the product is 36 and it is a positive square number.
Given:
2 and 140
Now, the perfect squares are:
√4=2
√9=3
√16 =4
√25=5
√36=6
√49=7
√64=8
√81=9
√100=10
√121=11
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