Question

Racionalize o denominador de cada fração

Answer 1

Resposta:

   e) ($\sqrt{3}$ + $\sqrt{2}$).

1/($\sqrt{3}$ - $\sqrt{2}$) = 1/($\sqrt{3}$ - $\sqrt{2}$) × ($\sqrt{3}$ + $\sqrt{2}$)/($\sqrt{3}$ + $\sqrt{2}$) = ($\sqrt{3}$ + $\sqrt{2}$)/($\sqrt{3}$ ² - $\sqrt{2}$²) =

($\sqrt{3}$ + $\sqrt{2}$)/3-2 = ($\sqrt{3}$ + $\sqrt{2}$).

   

   f)

(2 - $\sqrt{2}$)/($\sqrt{2}$ - 1) = ($\sqrt{2}$ + 1)/($\sqrt{2}$ + 1) = (2$\sqrt{2}$ - 2 - $\sqrt{2}$² + $\sqrt{2}$)/($\sqrt{2}$² -1²) =

(3$\sqrt{2}$ -4)/(2 - 1) = 3$\sqrt{2}$ -4

   Espero ter ajudado...