Question

Quanto seria raiz de 2 / 3 raiz de dois - 4 ?

Answer 1

$\frac{\sqrt{2}}{3\sqrt{2}-4} = \frac{\sqrt{2}}{3\sqrt{2}-4} \cdot \frac{3\sqrt{2}+4}{3\sqrt{2}+4} = \frac{3\sqrt{4}+4\sqrt{2}}{(3\sqrt{2})^2-4^2} = \frac{3\cdot2+4\sqrt{2}}{18-16} = \frac{2\cdot(3+2\sqrt{2})}{2}=3+2\sqrt{2}$