Q: Can a perfect square be a rational number?

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A perfect square is a rational number that is equal to the square of another rational number; 9 is a perfect square because it is a rational number that is the square of 3, another rational number.A polynomial that is the square of another polynomial is also a perfect square; x2 - 8x + 16 is a perfect square because it is the square of the polynomial x - 4.

It is a rational number - as are ALL perfect squares.

It can be. 7 is a non-perfect square and, being an integer, it is rational.

The mathematical term 'perfect square' means that a number, which has a rational number as its square root. 25 is a perfect square, because its square root is 5, a rational number.

Assuming your number is an integer: if the number is a perfect square, the number is of course an integer, and therefore rational. If the number is NOT a perfect square, it is irrational.

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No. Though every perfect square is a rational number, not every rational number is a perfect square. Example: 2 is a rational number but sqrt(2) is not rational, so 2 is not a perfect square.

A perfect square is a rational number that is equal to the square of another rational number; 9 is a perfect square because it is a rational number that is the square of 3, another rational number.A polynomial that is the square of another polynomial is also a perfect square; x2 - 8x + 16 is a perfect square because it is the square of the polynomial x - 4.

It is the square of the rational number.

It is a rational number - as are ALL perfect squares.

The mathematical term 'perfect square' means that a number, which has a rational number as its square root. 25 is a perfect square, because its square root is 5, a rational number.

It can be. 7 is a non-perfect square and, being an integer, it is rational.

It is rational. The root of a perfect square, such as 4, is rational; the root of any positive integer that is not a perfect square is an irrational number.

Assuming your number is an integer: if the number is a perfect square, the number is of course an integer, and therefore rational. If the number is NOT a perfect square, it is irrational.

A perfect square is a rational number that is the square of another rational number. 9, 16, 25, etc., are perfect squares of 3, 4, 5, etc., and X2 + 6X + 9 is a perfect square of (X + 3).

A perfect square.

A perfect square is a rational number equal to the square of a whole number.

If the whole number is a perfect square, its square root is rational. If not, it's not.