Are 0 and 1 Considered Perfect Squares?

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Discussion Overview

The discussion revolves around whether the numbers 0 and 1 are considered perfect squares. Participants explore the definition of perfect squares and the implications of this classification.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions if 0 and 1 are perfect squares, expressing uncertainty.
  • Another participant seeks clarification on the definition of a perfect square.
  • A participant defines a perfect square as a number that can be rooted into an integer, asserting that 0 and 1 are indeed perfect squares.
  • A later reply suggests that the definition may vary, indicating that a source referred to rational numbers rather than integers, proposing that 36/81 could also be considered a perfect square.

Areas of Agreement / Disagreement

There is no consensus on the definition of perfect squares, as participants present differing views on whether 0 and 1 fit this classification and the implications of including rational numbers.

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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what is a perfect square?
 
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.
 
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.
 

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