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You can check which number from 1 to a 100 are squares of other numbers for yourself. Here's how:
Start with 1 and count up, squaring the number and recording the result.
Example:
12 = 1
22 = 4
32 = 9
.
.
.
102 = 100
The number 1, 3, 9 . . . 10 are squares
Now, fill in the rest
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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 all the numbers from 1 to 300 that are non-perfect square numbers?
All of the whole numbers from 1 to 300 are not perfect squares, except for1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, and 289.In addition to the whole numbers not listed above, several of the decimalsand mixed numbers from 1 to 300 are also not perfect squares.
What are the 1-1000 perfect squares?
1001
What are examples of perfect square roots?
Perfect square roots are the counting numbers {1, 2, 3, ...} The squares of the perfect square roots are the perfect squares, namely 1² = 1, 2² = 4, 3² = 9, etc.
Name five numbers that are perfect squares between 1 and 50?
1,4,9,16,25,36,49
