Can every real number be written as a sum of 2 real squares, and if not, how to prove that?(adsbygoogle = window.adsbygoogle || []).push({});

And how to prove that not every square of a whole number can be written as a sum of two whole squares?

I also read something that doesn't seem right to me: if a and b are rational, c must be irrational (counterexample: 3² + 4² = 5²), does the author mean a rational number that is not whole? And how to prove that?

I thank you.

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# Pythagorean triplets

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