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A perfect square is an integer (whole number) times itself. E.g. 3*3 = 9, or -4*-4 = 16.

A negative number times a negative number is a positive number. This means a negative number times itself would be positive.

It also holds true for all squares, not just perfect squares. E.g., -1.3 * -1.3 = 1.69 (which is positive).

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Q: Why are perfect squares never negative?
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Can negative numbers be perfect squares?

yes


Can you write every integer as the sum of two nonzero perfect squares?

No.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theorem


Is negative 90 squared... this is the one with the box around it... rational or irrational and are perfect squares rational or irrational?

-90 squared is rational - it is +8100. All perfect squares are not only rational but they are integers.


Which numbers are NOT perfect squares?

In the complex field, every number is a square so there are no numbers that are not squares. If the domain is reduced to that of real numbers, any negative number is not a square. However, the term "square numbers" (not number's!) is often used to refer to perfect square numbers. These are numbers that are squares of integers. Therefore the squares of fractions or Irrational Numbers are non-squares.


What is the smallest negative perfect square that is divisible by the four smallest prime numbers?

Perfect squares are positive. A smallest negative number doesn't exist. The four smallest prime numbers are 2, 3, 5 and 7. The smallest perfect square would have to be 2^2 x 3^2 x 5^2 x 7^2 or 44,100


What two square numbers total 21?

There is no pair of perfect squares that sums to 21. And the question is pointless if it is not about perfect squares because in that case there are infinitely many answers.There is no pair of perfect squares that sums to 21. And the question is pointless if it is not about perfect squares because in that case there are infinitely many answers.There is no pair of perfect squares that sums to 21. And the question is pointless if it is not about perfect squares because in that case there are infinitely many answers.There is no pair of perfect squares that sums to 21. And the question is pointless if it is not about perfect squares because in that case there are infinitely many answers.


How many perfect squares are between 100000 and 1000000?

683 perfect squares.


Can perfect squares have decimals?

Perfect squares cannot have digits after the decimal point.


What is the next number in the sequence 25 36 49 64?

81. They are the perfect squares of numbers starting from 5.81. They are the perfect squares of numbers starting from 5.81. They are the perfect squares of numbers starting from 5.81. They are the perfect squares of numbers starting from 5.


Are no perfect squares whole numbers?

By definition, ALL perfect squares are whole numbers!


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Natural numbers which are the scales of some natural numbers are perfect squares


Is zero perfect square?

No. Convention defines perfect squares as squares of positive integers.