Question

1 sobre raiz de 2 +1

Answer 1

$\mathsf{ \dfrac{1}{ \sqrt{2} + 1 } = \dfrac{1}{ \sqrt{2} + 1 } * \dfrac{ \sqrt{2} - 1 }{ \sqrt{2} - 1} = \dfrac{ \sqrt{2} -1 }{( \sqrt{2 } + 1)( \sqrt{2} - 1) } = \dfrac{ \sqrt{2} +1}{ \sqrt{2}^{2} - 1^{2} } = } \\ \\ \\ \mathsf{ \dfrac{ \sqrt{2} + 1 }{1} = \sqrt{2} + 1 }$