Q: What are the rules for squares and squares roots?

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They are not.

No. The square roots of perfect squares are rational.

Perfect square roots are the counting numbers {1, 2, 3, ...} The squares of the perfect square roots are the perfect squares, namely 1² = 1, 2² = 4, 3² = 9, etc.

All their roots are whole numbers.

perfect squares

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perfect squares

They are not.

No. The square roots of perfect squares are rational.

The square root of every perfect square is an integer. However, there are also square roots of numbers that are not perfect squares.

The square roots of perfect squares are the numbers that when squared create perfect squares as for example 36 is a perfect square and its square root is 6 which when squared is 36

1 and -1.

Perfect square roots are the counting numbers {1, 2, 3, ...} The squares of the perfect square roots are the perfect squares, namely 1² = 1, 2² = 4, 3² = 9, etc.

All their roots are whole numbers.

perfect squares

Large perfect squares.

perfect squares

They are the perfect squares.