Dají se výrazy $\sqrt{a + \sqrt{b}}$, $\sqrt{a - \sqrt{b}}$ zjednodušit?

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Dají se výrazy $\sqrt{a + \sqrt{b}}$, $\sqrt{a - \sqrt{b}}$ zjednodušit?. (Czech). Rozhledy matematicko-fyzikální, vol. 87 (2012), issue 3, pp. 26-29

Summary:
The proof of the theorem about square roots of expression $a \pm \sqrt{b}$ is given. Then, the theorem is used in many examples.