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โˆ™ 2011-12-16 07:19:01
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Q: Can 2819 be expressed by the sum of 2 perfect squares?
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Can 5077 be expressed as the sum of two perfect squares?

Yes. 6 squared+71 squared equals 5077


Can 8081 be the sum of two perfect squares?

8081 can be the sum of two perfect squares because its perfect squares are 41 x41+80x80=1681+6400. Answer=1681+6400


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.


Can 5077 be expressed by the sum of two perfect squares?

Since the last digit of 5077 is 7, the last digit of the perfect square numbers must be 1 and 6. So that we have 5077 = 712 + 62.


What are two perfect squares that have the sum of 100?

64 and 36.


Can 4003 be expressed by the sum of 2 perfect squares?

No. The closest integers which can are 4001 (= 40² + 49²) and 4005 (= 6² + 63²).


What is the rule which tests whether a prime number can be written as the sum of two different squares?

It is Fermat's theorem on the sum of two squares. An odd prime p can be expressed as a sum of two different squares if and only if p = 1 mod(4)


What is the smallest prime number which is the sum of two distinct positive perfect squares?

5


What is the sum of all perfect squares from 50 to 2500?

Including 2500, it's 42,785.


What is the sum of all the perfect squares between 5 and 30?

9+16+25= 50


Can 5077 be expressed by the sum of 2 perfect square numbers?

Yes, 5041 and 36.


What are the 10 2 digit that can be written in a sum of two square numbers?

It is not clear what the question means: there are 31 2-digit numbers that can be expressed as a sum of two squares.


How can you two perfect squares for a given integer?

The proposition in the question is simply not true so there can be no answer!For example, if given the integer 6:there are no two perfect squares whose sum is 6,there are no two perfect squares whose difference is 6,there are no two perfect squares whose product is 6,there are no two perfect squares whose quotient is 6.


The sum of two positive numbers is 4 and the sum fo their cubes is 28 What is the sum of their squares?

The sum of their squares is 10.


What is the sum of the 2 smallest perfect squares?

the smallest is 1 and the next is 4, so add those together.


Which perfect square is the sum of two perfect squares 25 or 36 or49 or 64?

Only 25 which is, 52 = 32 + 42 (25 = 9 + 16)


If the regression sum of squares is large relative to the error sum of squares is the regression equation useful for making predictions?

If the regression sum of squares is the explained sum of squares. That is, the sum of squares generated by the regression line. Then you would want the regression sum of squares to be as big as possible since, then the regression line would explain the dispersion of the data well. Alternatively, use the R^2 ratio, which is the ratio of the explained sum of squares to the total sum of squares. (which ranges from 0 to 1) and hence a large number (0.9) would be preferred to (0.2).


What number is a perfect square and the sum of 2 perfect squares?

25 = 9 + 16 There are many more sets like these. This one has the smallest numbers.


Why is the residual sum of squares bigger then total sum of squares when there isn't a constant?

There is a calculation error.


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 the first 5 perfect squares?

12 + 22 + 32 + 42 + 52 = 1 + 4 + 9 + 16 + 25 = 55


How do you find the sum of all perfect squares between 5 and 30?

Here is a procedure that would do the job nicely: -- Make a list of all the perfect squares between 5 and 30. (Hint: They are 9, 16, 25, 36, and 49.) -- Find the sum by writing the numbers in a column and adding up the column.


Explain the square of the sum of two numbers is different from the sum of the squares of two numbers?

split 10 in two parts such that sum of their squares is 52. answer in full formula


Two numbers have a sum of 20 if their squares is a minimum find the numbers Complete the square to find the minimum?

Sum of squares? Product?


How many of the numbers from 10 to 96 have the sum of their digits equal to a perfect square?

the highest sum of the numbers is 17 and the lowest is 1. The only perfect squares in that range are 1,4,9, and 16. That means the following numbers will work: 10,13.18,22,27,31,36,40,45,54,63,72,79,81,88, and 90; that is 16 numbers

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