Question

Racionalize as frações (demonstre os cálculos )
A)6/raiz de 2=
B)4/2raiz de 2=
C)raiz de 2/raiz de 2 +1=
D)1/raiz de 5 + raiz de 2=
E)1+3 raiz de 3/raiz de 5 - 2=
Me ajudem

Answer 1

Racionalize as frações (demonstre os cálculos )

A)6/raiz de 2=

= 6/ \/2 . \/2 / \/2
= 6 \/2 / 2
= 3 \/2
_____________

B)4/2raiz de 2=
= 4 / 2\/2 (:2)/(:2)
= 2 / \/2 . \/2 / \/2
= 2 \/2 / 2
= \/2
_____________

C)raiz de 2/raiz de 2 +1=
= \/2/(\/2 + 1). (\/2 - 1)/(\/2 - 1)
= \/2.(\/2-1)/(\/2 + 1).(\/2 - 1)
= (2 - \/2)/(2-1)
= 2 - \/2

___________

D)1/raiz de 5 + raiz de 2=
= 1 / (\/5 + \/2) . (\/5 - \/2)/(\/5 - \/2)
= 1.(\/5 - \/2)/(\/5+\/2).(\/5-\/2)
= (\/5 - \/2)/(5 - 2)
= (\/5 - \/2) / 3
_____________

E)1+3 raiz de 3/raiz de 5 - 2=
= (1+ 3\/3)/(\/5 - 2) . (\/5+2)/(\/5+2)
= (1+3\/3).(\/5+2)/(\/5-2).(\/5+2)
= (\/5+2+3\/3.\/5+6\/3)/(5-4)
= (\/5+2+3\/15+6\/3)/1
= 6\/3 + \/5 + 3 \/15 + 2