Question

racionaliza cada expresión
ayuda por favor ​

Answer 1

Respuesta:

Explicación paso a paso:

$\frac{\sqrt{m+1}}{1-\sqrt{m+1}}\times\frac{1+\sqrt{m+1}}{1+\sqrt{m+1}}=\frac{\sqrt{m+1}(1+\sqrt{m+1})}{(1-\sqrt{m+1})(1+\sqrt{m+1})}=\frac{\sqrt{m+1}+{\sqrt{m+1}}^2}{1-\sqrt{m+1}^2}\\\\=\frac{\sqrt{m+1}+m+1}{1-(m+1)}}=\frac{1+m+\sqrt{m+1}}{1-m+1}=\frac{1+m+\sqrt{m+1}}{-m}\\\\\boxed{\frac{\sqrt{m+1}}{1-\sqrt{m+1}}=-\frac{1+m+\sqrt{m+1}}{m}}$