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How many of the numbers from 1 to 20 can you express as the difference of two perfect squares?
Wiki User
∙ 11y ago
Fifteen of them. All but numbers of the form 4n-2 = 2, 6, 10, 14, 18
Wiki User
∙ 11y ago
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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
What fractions are a perfect square?
None. Perfect squares, by definition, are the squares of counting numbers and these cannot be fractions.
In a difference of squares problem terms must be perfect squares?
coefficient
In a difference of squares problem both terms must be what squares?
Perfect
Are perfect squares rational numbers?
Yes, they are.
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!
Perfect squares?
Natural numbers which are the scales of some natural numbers are perfect squares
Numbers that have an odd number of factors are what?
perfect squares
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
How many numbers between 30 and 50 are perfect squares?
Two. 36, and 49 are perfect squares.
What fractions are a perfect square?
None. Perfect squares, by definition, are the squares of counting numbers and these cannot be fractions.
In a difference of squares problem terms must be perfect squares?
coefficient
In a difference of squares problem both terms must be what squares?
Perfect
Can negative numbers be perfect squares?
yes
Are perfect squares rational numbers?
Yes, they are.
What if a number not a perfect square?
It does not matter! There are more numbers that are not perfect squares than there are perfect squares and the universe has not ground to a screeching halt!
