Question

O valor da expressão:
(1/√2) - (1/1+√2) - (1/2+√2) é?
Detalhes de como resolver

Answer 1

$(\dfrac{1}{ \sqrt{2} }) - (\frac{1}{1} + \sqrt{2}) + ( \frac{1}{2} + \sqrt{2}) \\ \\ \\ (\dfrac{1 * \sqrt{2} }{ \sqrt{2}* \sqrt{2} }) - (1 + \sqrt{2}) + ( \dfrac{1 + 2\sqrt{2}}{2} ) \\ \\ \\ (\dfrac{\sqrt{2} }{ (\sqrt{2})^2 } - (1+\sqrt{2}) + ( \dfrac{1 + 2\sqrt{2}}{2} ) \\ \\ \\ (\dfrac{\sqrt{2} }{ (\not \sqrt{2})^\not 2 } - (1+ \sqrt{2}) + ( \dfrac{1 + 2\sqrt{2}}{2} )$

$(\dfrac{\sqrt{2} }{2 }) - ( \dfrac{3 + 4\sqrt{2}}{2} ) \\ \\ \\ => - \dfrac{3 + 3\sqrt{2}}{2}$