Question

Alguém pode me ajudar a resolver estas duas racionalizações?
Obg

Answer 1

3) Resposta A
$\frac{1+\sqrt3}{\sqrt3-1}\times \frac{\sqrt3+1}{\sqrt3+1} =\\\\ \frac{1^2+2\sqrt3+3}{3-1} = \frac{4+2\sqrt3}{2} = \\\\ \boxed{2+\sqrt3}$

4) Resposta A
$\frac{\sqrt2-1}{2-\sqrt2}\times\frac{2+\sqrt2}{2+\sqrt2} = \\\\ \frac{2\sqrt2+2-2-\sqrt2}{4-2} = \\\\ \boxed{\frac{\sqrt2}{2}}$