Lagrange's Four Square Theorem/Examples/1

Example of Use of Lagrange's Four Square Theorem

$1$ can be trivially expressed as the sum of $4$ squares:

$1 = 1^2 + 0^2 + 0^2 + 0^2$

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Lagrange's theorem: 1. (J.L. Lagrange, 1772)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Lagrange's theorem: 1. (J.L. Lagrange, 1772)