Question

Racionalize o denominador:
√2/ √2+√3

Answer 1

$\frac{ \sqrt{2}}{( \sqrt{2}+ \sqrt{3}) } = \frac{\sqrt{2} .(\sqrt{2}- \sqrt{3})}\sqrt{2}+ \sqrt{3}){ \sqrt{2}- \sqrt{3})}}= \frac{\sqrt{2} .(\sqrt{2}- \sqrt{3})}{2-3} = \frac{2- \sqrt{6} }{-1}=-2+ \sqrt{6}$


Espero ter ajudado.