Tính `2“\sqrt{\frac{16}{3}}“-3“\sqrt{\frac{1}{27}}“-6“\sqrt{\frac{4}{75}}` giải thật chi tiết cho em xem nha

Đáp án:

`2 sqrt(16/3) – 3 sqrt(1/27) – 6 sqrt(4/75)`

`= sqrt(4) . sqrt(16/3) – sqrt(9) . sqrt(1/27) – sqrt(36) . sqrt(4/75)`

`= sqrt(4 . 16/3) – sqrt(9 . 1/27) – sqrt(36 . 4/75)`

`= sqrt(64/3) – sqrt(1/3) – sqrt(48/25)`

`= (8sqrt(3))/3 – (sqrt(3))/3 – (4sqrt(3))/5`

` = (7sqrt(3))/3 – (4sqrt(3))/5`

`= (35sqrt(3))/15 – (12sqrt(3))/15 = (35sqrt(3)-12sqrt(3))/15`

`= (23sqrt(3))/15`