Are 0 and 1 Considered Perfect Squares?

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In summary, a perfect square is a number that can be rooted into an integer, and 0 and 1 are examples of perfect squares. It is also possible for a rational number, such as 36/81, to be a perfect square.
  • #1
Kyoma
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I know this may sound dumb, but is zero and one perfect squares? I have no idea.
 
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  • #2
what is a perfect square?
 
  • #3
I guess it's a language barrier problem, a perfect square is a number that can be rooted into an integer, i.e., it's the square of an integer.

0 and 1 are perfect squares, yes.
 
  • #4
MOG_Manuel said:
I guess it's a language barrier problem, a perfect square is a number that can be rooted into an integer, i.e., it's the square of an integer.

0 and 1 are perfect squares, yes.

The source I looked at said Rational number, not integer. Thus, 36/81 is also a Perfect Square.
 
  • #5


Yes, both 0 and 1 are considered perfect squares. A perfect square is any number that can be expressed as the product of two equal integers. In the case of 0, it can be expressed as 0 x 0, and in the case of 1, it can be expressed as 1 x 1. Therefore, both 0 and 1 meet the criteria for being perfect squares.
 

Related to Are 0 and 1 Considered Perfect Squares?

1. Is 0 a perfect square?

No, 0 is not considered a perfect square because it does not have a positive integer as its square root. The square root of 0 is 0, which is not a positive integer.

2. Is 1 a perfect square?

Yes, 1 is considered a perfect square because it has a positive integer as its square root. The square root of 1 is 1, which is a positive integer.

3. Why is 0 not a perfect square?

In order for a number to be considered a perfect square, it must have a positive integer as its square root. Since the square root of 0 is 0, which is not a positive integer, 0 is not considered a perfect square.

4. Can any number be a perfect square?

No, not all numbers can be considered perfect squares. A number must have a positive integer as its square root in order to be considered a perfect square. Numbers like 2, 3, 5, and 7 are not perfect squares because their square roots are not integers.

5. What is the difference between a perfect square and a square number?

A perfect square is a number that has a rational number as its square root, while a square number is any number that can be squared to give a whole number as a result. While all perfect squares are square numbers, not all square numbers are perfect squares. For example, 9 is a perfect square because its square root is 3, but 8 is a square number because it can be squared to give the whole number 64, but it is not a perfect square because its square root is not a rational number.

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