Suppose you list the factors of a perfect square. Why is one factor a square root and not the other factors?

No factor of a perfect square is a square root, (unless it's the square root of a perfect- square number, and then it can be replaced by the number that's the square root of what's inside the radical).
The factors of a perfect square are just whole numbers.
256 is a perfect square.
Its factors are 1, 2, 4, 8, 16, 32, 64, 128, and 256.

Answered by AL2006 | 2024-06-10

In a perfect square, one factor corresponds to the positive square root, while the other factors do not relate to square roots and simply divide the number evenly. For example, for the perfect square 36, the square root is 6, while other factors like 1, 2, and 3 do not serve as square roots. Thus, only one factor will specifically be the square root among the complete list of factors.
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Answered by AL2006 | 2024-09-05