Question

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Preciso desta resposta urgente!!

Resolva a operação em anexo, e depois defina se é número racional ou irracional.

Answer 1

$\displaystyle \text F = \frac{1}{\sqrt{2}+1}-\frac{1}{\sqrt{2}-1} \\\\\\ \text F = \frac{\sqrt{2}-1-(\sqrt{2}+1)}{(\sqrt{2}+1)(\sqrt{2}-1)} \\\\\\ \text F = \frac{\sqrt{2}-1-\sqrt{2}-1}{(\sqrt{2})^2-1} \\\\\\ \text F = \frac{-1-1}{2-1} \to \text F = \frac{-2}{1} \\\\\\ \huge\boxed{\text F = -2\ }\to \text{(N{\'u}mero Racional )}$