Question

) Racionalize o denominador de cada fração
de
1+√2/2+√2

Answer 1

1 + √2 =
 2+√2

1 + √2 ×√2 = 1 + √4   = 1 + 2  = 3
 2+√2 ×√2      2 +√4      2 + 2     4

Answer 2

$\frac{1 + \sqrt{2} }{2 + \sqrt{2} } = \frac{1 + \sqrt{2} }{2 + \sqrt{2} }* \frac{2 - \sqrt{2} }{2 - \sqrt{2} }=\\\\ \frac{2 - \sqrt{2} + 2 \sqrt{2} - 2}{2^{2}-( \sqrt{2})^{2} } = \frac{ \sqrt{2} }{4-2} = \\\\ =>\boxed{ \frac{ \sqrt{2} }{2} }$