Sum of 2 Squares in 2 Distinct Ways/Examples

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Examples of Sum of 2 Squares in 2 Distinct Ways

$50$ as the Sum of 2 Squares

$50$ is the smallest positive integer which can be expressed as the sum of two square numbers in two distinct ways:

\(\ds 50\) \(=\) \(\ds 5^2 + 5^2\)
\(\ds \) \(=\) \(\ds 7^2 + 1^2\)


$65$ as the Sum of 2 Squares

$65$ can be expressed as the sum of two square numbers in two distinct ways:

\(\ds 65\) \(=\) \(\ds 8^2 + 1^2\)
\(\ds \) \(=\) \(\ds 7^2 + 4^2\)


$145$ as the Sum of 2 Squares

$145$ can be expressed as the sum of two square numbers in two distinct ways:

\(\ds 145\) \(=\) \(\ds 12^2 + 1^2\)
\(\ds \) \(=\) \(\ds 9^2 + 8^2\)