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Can you write every integer as the sum of two nonzero perfect squares?
Wiki User
∙ 14y ago
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_theorem
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_theorem
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_theorem
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_theorem
Wiki User
∙ 14y ago
Wiki User
∙ 14y agoNo.
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
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Rational numbers who square roots are whole numbers?
Every integer is a rational number, and some integers are perfect squares. These are the only rational numbers to have an integral square root.
Is every integer a rational number or is every rational number an integer?
Every integer is a rational number.
Is every integer iratinal?
Every integer is rational.
Is 1 a factor of every integer?
Yes, 1 is a factor of every integer and every integer is a multiple of 1.
Does every set of data points have a unique least squares straight line fit?
No. Consider four points at the corners of a perfect square.
How are square roots and perfect squares related?
The square root of every perfect square is an integer. However, there are also square roots of numbers that are not perfect squares.
What is the absolute value of every nonzero integer?
Positive
Rational numbers who square roots are whole numbers?
Every integer is a rational number, and some integers are perfect squares. These are the only rational numbers to have an integral square root.
What is the factor that's not 11?
I'm not sure you've given us enough information. Every nonzero integer can be a factor, so unless you have a specific number in mind, your answer is potentially any nonzero number except 11.
What are the nonzero multiples of 24?
Every value of 24 multiplied by a non-zero positive integer. i.e. 24, 48, 72, 96... etc
What is the name of the math sequence where you add every odd number?
Perfect squares.
Does every number have a least common multiple?
Every nonzero number has multiples. Every set of nonzero numbers has an LCM.
Which are the two numbers which are the factors of each what numbers -1 63 2 37 3 91 4 85?
The only common factor of every nonzero integer is 1.
Does every integer have a factor with a square root?
Yes, since one is a perfect square. But that's not helpful. Other than one, not every integer has a factor with an integral square root.
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.
Does every nonzero fraction has a multiplicative inverse?
Yes
Is every nonzero number a factor of itself?
Yes! it is.
