Question

Racionaliza la siguiente expresión (Urgente-con desarrollo)

Answer 1

$(\sqrt{a} - \sqrt{a+1})/ (\sqrt{a} + \sqrt{a+1})$=
$(\sqrt{a} - \sqrt{a+1})(\sqrt{a} - \sqrt{a+1})/ (\sqrt{a} + \sqrt{a+1})(\sqrt{a} - \sqrt{a+1})$=
$(\sqrt{a} - \sqrt{a+1})^{2} / (\sqrt{a}^{2} - \sqrt{a+1}^{2} )$=$(\sqrt{a} - \sqrt{a+1})^{2} / (a - (a+1) )$=$-(\sqrt{a} - \sqrt{a+1})^{2}$