Question

$si \: el \: valor \: de \: x = \sqrt{ \sqrt{7 - 1} } cual \: es \:el \: valor \: de \: a = { ( \frac{x}{ \sqrt{2} } + \frac{1}{ \sqrt{2} } )}^{2} {( \frac{x}{ \sqrt{2} } } - \frac{1}{ \sqrt{2} }) ^{2}$
es urgente porfabor ​

Answer 1

Respuesta:

$x = \sqrt{ \sqrt{7 - 1} } \\ a = { ( \frac{x}{ \sqrt{2} } + \frac{1}{ \sqrt{2} } )}^{2} {( \frac{x}{ \sqrt{2} } } -\frac{1}{ \sqrt{2} }) ^{2}\\=[{ ( \frac{x}{ \sqrt{2} } + \frac{1}{ \sqrt{2} } )} {( \frac{x}{ \sqrt{2} } } -\frac{1}{ \sqrt{2} }) ]^{2} \\= { ( \frac{x^2}{ 2} - \frac{1}{2})}^{2} \\ = (\frac{\sqrt{6}-1}{2})^{2}$