Verified answer

         __       __

(1 + √ 3 ) / (√ 3 - 1) =

           __           __       __         __

=(1 + √ 3 ) (1 + √ 3 ) / (√ 3 - 1) (√ 3 + 1) =

              __

= (1 + 2√ 3 + 3) / (3 - 1) =

               __

= (4 +  2√ 3 ) / 2 =

           __

= 2 + √ 3

Resposta: alternativa a

Abração

2+√3

Resposta a

( 1 + V3)( 1 + V3)/ ( V3 - 1)( 1+V3)

( 1 +V3)² / ( 3 - 1)

( 1 + 2V3 + 3 )/ 2

( 4 + 2V3)/2

2(2 + 1V3)/ 2 =

2 +V3 ( A )

(1+√3)

--------- =

(√3-1)

=

(1+√3)(√3 + 1)

-------------------- =

(√3-1)(√3 +1)

=

1 + 2√3 + 3

--------------- =

(√3)² - (-1)²

=

4 + 2√3

----------- =

3-1

=

4/2 + 2√3/2 =

=

2 + √3.

Resposta: Alternativa a).