rasionalkan penyebut pecahan 2 per 1+ akar 2 tolong jawab pakek jalannya

[tex] \frac{2}{1 + \sqrt{2} }[/tex]
= [tex]\frac{2}{1 + \sqrt{2} } * \frac{1 - \sqrt{2} }{1- \sqrt{2} } [/tex]
= [tex] \frac{2(1 - \sqrt{2}) }{1^2 - (\sqrt{2)^2} } [/tex]
= [tex] \frac{2(1 - \sqrt{2}) }{1 - 2}[/tex]
= [tex] \frac{2(1 - \sqrt{2}) }{-1}[/tex]
= -2 (1 - [tex] \sqrt{2} [/tex])