Question

o valor da expressão 2 - √2 / √2 - 1 é:

Answer 1

$\dfrac{2 - \sqrt{2}}{\sqrt{2}-1}\\ \\ \\ \dfrac{(2 - \sqrt{2}).(\sqrt{2}-1)}{(\sqrt{2}-1).(\sqrt{2}-1)}\\ \\ \\\dfrac{-4+3\sqrt{2}}{(\sqrt{2}-1)^2}\\ \\ \\\dfrac{-4+3\sqrt{2}}{3-2.\sqrt{2}}\\ \\ \\=\ \textgreater \ \sqrt{2}$