Prove the following claim If n is an integer between 0 and 1

Prove the following claim:

If n is an integer between 0 and 10, then n = a^2 +b^2 +c^2 +d^2 , for some integers a, b, c, d.

By using propositions.

Prove the following claim:

If n is an integer between 0 and 10, then n = a^2 +b^2 +c^2 +d^2 , for some integers a, b, c, d.

By using propositions.

IF N IS A PERFECT SQUARE THAT IS .....0 , 1 , 4 , 9 ...THEN OBVIOUSLY WE GET ...N = A^2+0^2+0^2+0^2

3 = 1+ 1 +1 = ...1^2+1^2+1^2+0^2

5 = 4+ 1 +1 = ...2^2+1^2+0^2+0^2

6 = 4+ 1 +1 = ...2^2+1^2+1^2+0^2

7 = 4+1+ 1 +1 = ...2^2+1^2+1^2+1^2

8 = 4+ 4 = ...2^2+2^2+0^2+0^2

10 = 4+4+ 1 +1 = ...2^2+2^2+1^2+1^2

PROVED