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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 are not perfect squares from 1 to 31?
The only perfect squares from 1 to 31 are 1, 4, 9, 16, and 25.All of the other 26 are NOT perfect squares.2,3,5,6,7,8,10,11,12,13,14,15,17,18,19,20,21,22,23,24,26,27.28,29,30,31
How are perfect squares used in algebra?
In Algebra, perfect squares are used when one wants to break down a geometrically square object into smaller squares which can be of all different sizes.
What do the perfect squares have in common?
All their roots are whole numbers.
Is the perfect square of 64 a rational or irrational number?
It is a rational number - as are ALL perfect squares.
Are no perfect squares whole numbers?
By definition, ALL perfect squares are whole numbers!
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 is the sum of all positive integers less than 100 that are squares of perfect squares?
The only squares of perfect squares in that range are 1, 16, and 81.
What are not perfect squares from 1 to 31?
The only perfect squares from 1 to 31 are 1, 4, 9, 16, and 25.All of the other 26 are NOT perfect squares.2,3,5,6,7,8,10,11,12,13,14,15,17,18,19,20,21,22,23,24,26,27.28,29,30,31
Are all perfect squares rational?
Yes
Are perfect squares all rational numbers?
Yes.
How are perfect squares used in algebra?
In Algebra, perfect squares are used when one wants to break down a geometrically square object into smaller squares which can be of all different sizes.
Are all multiples of 4 perfect squares?
No, 8 is a multiple of 4 and NOT a perfect square.
What are all the perfect squares less than 101?
1,4,9,16,25,36,49,64,81,100
What do the perfect squares have in common?
All their roots are whole numbers.
What numbers always have an even number of factors?
All positive integers which are not perfect squares.
Is the perfect square of 64 a rational or irrational number?
It is a rational number - as are ALL perfect squares.
