Question

se a=0 444... e b=0 333..., entao b√a e igual a:

Answer 1

a = 0,444...
10a = 4,444...
10a = 4 + 4/9
10a = 40/9
90a = 40
a = 40/90
a = 4/9

b = 0,333...
10b = 3,333...
10b = 3 + 3/9
10b = 30/9
90b = 30
b = 30/90
b = 3/9

b√a
= 3/9 * √4/9
= 3/9 * 2/3
= 6/27
= 2/9