Sum of three squares?

Question

Can u express sum of three perfect squares as sum of other three perfect squares?
I say no. what do u say & why?

Some case are there when sum of three perfect squares can be explained sum of other three perfect squares.

Answer 1

sum of squares of
1, 3 and 10 = 110
2, 5 and 9 = 110

Answer 2

Let x be the smallest integer. Since they are consecutive even, they have a difference of 2 between each of them, so the second integer is x + 2 and the third is x + 4. The sum of their squares is 440. Solve for x. x^2 + (x + 2)^2 + (x + 4)^2 = 440 x^2 + x^2 + 4x + 4 + x^2 + 8x + 16 = 440 3x^2 + 12x + 20 = 440 3x^2 + 12x - 420 = 0 3(x^2 + 4x - 140) = 0 3(x + 14)(x - 10) = 0 x + 14 = 0 or x - 10 = 0 x = -14 or x = 10 ANSWER: The numbers are -14, -12, and -10, or 10, 12, and 14.

Answer 3

Yes it is imposible for the sum of the 3 perfect square to be the sum of the 3 Perfect square.

Answer 4

no the sum of three perfect squares are not the sum of other three perfect squares
However the above expression would hold true for the square roots of three perfect squares as well as true for the cube roots of three perfect squares

Answer 5

Yes ,the sum of three perfect squares is equal to sum of other three perfect squares.
eg
(-a)(-a)+(-b)(-b)+(-c)(-c)=(a)(a)+(b)(b)+(c)(c)

Answer 6

any number Not of the form 4^a(8m + 7) can be written as sum of 3 perfect squares.

How serious are you with your questions ?
see http://answers.yahoo.com/question/index;_ylt=AvivP2vdn_qSdnT5M_Siyhfsy6IX?qid=20061106081029AAr4yHJ

your chooses answer is not an answer

Answer 7

(1)^2+(2)^2+(3)^2=(-1)^2+(-2)^2+(-3)^2

Answer 8

u urself hv accpeted that in some cases it is not so

it is enough to show one such case to prove that it is not so.

Answer 9

I agree.

Answer 10

3asquare