Question

racionalizar la expresión:
$\frac{3}{3 + \sqrt[]{2} } =$

Answer 1

$\frac{3}{3 + \sqrt{2} } =( \frac{3}{3 + \sqrt{2} })( \frac{3 - \sqrt{2} }{3 - \sqrt{2} } ) \\ = \frac{3(3 - \sqrt{2} )}{(9 - 2)} \\ = \frac{9 - 3 \sqrt{2} }{7}$