Question

Racionalizando o denominador da fração √2-1/2-√2 encontramos

Answer 1

$\dfrac{\sqrt{2}-1}{2-\sqrt{2}}=\dfrac{\sqrt{2}-1}{2-\sqrt{2}}\bigg(\dfrac{2+\sqrt{2}}{2+\sqrt{2}}\bigg)=\dfrac{2\sqrt{2}+2-2-\sqrt{2}}{4+2\sqrt{2}-2\sqrt{2}-2}=\dfrac{\sqrt{2}}{2}$