Racionalizando o denominador, vemos que a razão (1+√3) / (√3-1) é igual a:?

Comments

• paulo-star

  May 2021

           __       __

  (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

   
• andrew-carter_60a4949eb97da

  May 2021

  2+√3
• -z-

  May 2021

  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 )
• aeiou

  May 2021

  (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).