Question

O valor da expressão
2− √2 / √2−1

Answer 1

$\dfrac{2 - \sqrt{2} }{ \sqrt{2} - 1 } \\ \\ \\ \dfrac{(2 - \sqrt{2}) * (\sqrt{2} - 1)}{ (\sqrt{2} - 1) *(\sqrt{2} - 1)} \\ \\ \\ \dfrac{-4+3 \sqrt{2}}{ 3 - 2 \sqrt{2}} \\ \\ \\ \dfrac{ \sqrt{2}(3 - 2 \sqrt{2})}{ 3 - 2 \sqrt{2}}$

$\dfrac{ \sqrt{2}(\not 3 - \not2 \not\sqrt{\not2})}{ \not3 - \not2 \not\sqrt{\not2}} \\ \\ \\ => \sqrt{2}$