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.
By definition, ALL perfect squares are whole numbers!
0,1,4,16 are all factors of 60 and are perfect squares.
No, 8 is a multiple of 4 and NOT a perfect square.
All numbers have factors. Some factors are perfect squares. We call these perfect square factors. 9 is a perfect square factor of 27.
Including 2500, it's 42,785.
By definition, ALL perfect squares are whole numbers!
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
0,1,4,16 are all factors of 60 and are perfect squares.
9+16+25= 50
The only squares of perfect squares in that range are 1, 16, and 81.
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
Yes
Yes.
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.
No, 8 is a multiple of 4 and NOT a perfect square.
1,4,9,16,25,36,49,64,81,100
All their roots are whole numbers.