Question

racionalize √2 -1 /2-√2​

Answer 1

Bom diaa !!!

Resposta:

$\frac{ \sqrt{2} - 1}{2 - \sqrt{2} } = \\ \frac{ \sqrt{2} - 1}{2 - \sqrt{2} } \times \frac{2 + \sqrt{2} }{2 + \sqrt{2} } = \\ \frac{( \sqrt{2} - 1) \times (2 + \sqrt{2} )}{(2 - \sqrt{2} ) \times (2 + \sqrt{2}) } = \\ \frac{2 \sqrt{2} + 2 - 2 - \sqrt{2} }{4 - 2} = \\ \frac{2 \sqrt{2} - \sqrt{2} }{4 - 2} = \\ \frac{ \sqrt{2} }{2}$

Espero ter ajudado =)