Question

racionalize 6 sobre raiz de 6 menos raiz de 2

Answer 1

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