Question

seja a =√0,444...+0,555...)² e b =0,777... entao calcule o valor de √ a + b​

Answer 1

a = ( √0,444... + 0,555..)²

a = ( √4/9 + 5/9 )²

a = ( 2/3 + 5/9 )²

a = ( 6/9 + 5/9 )²

a = ( 11/9 )²

a = 121/81

b = 0,777...

b = 7/9

√a + b

= √121/81 + 7/9

= 11/9 + 7/9

= 18/9

= 2