Question

Racionalize o denominador:

Answer 1

Resposta:

$\frac{2 - \sqrt{2} }{3 + \sqrt{2} } = \frac{2 - \sqrt{2} }{3 + \sqrt{2} } \times \frac{3 - \sqrt{2} }{3 - \sqrt{2} }$

$\frac{(2 - \sqrt{2} ) \times (3 - \sqrt{2} )}{(3 + \sqrt{2} ) \times (3 - \sqrt{2}) } = \frac{6 - 2 \sqrt{2} - 3 \sqrt{2} + 2 }{9 - 2} = \frac{8 - 5 \sqrt{2} }{7}$