Tính

To simplify the expression, we can start by rationalizing the denominators of the fractions.

12/3 + √3 - 6/√3 + √27 - 3√2/√3 - √2

= 4 + √3 - 6/√3 + √(3*3*3) - 3√2/√3 - √2

= 4 + √3 - 6/√3 + 3√3 - 3√2/√3 - √2

= 4 + √3 + 3√3 - 6/√3 - 3√2/√3 - √2

Next, we can combine like terms.

= 4 + √3 + 3√3 - 6/√3 - 3√2/√3 - √2

= 4 + 4√3 - 6/√3 - 3√2/√3 - √2

= 4 + 4√3 - 6√3/3 - 3√2/√3 - √2

= 4 + 4√3 - 2√3 - 3√2/√3 - √2

= 4 + 2√3 - 3√2/√3 - √2

= 4 + 2√3 - 3√2/√3 - √2 * (√3/√3)

= 4 + 2√3 - 3√2/√3 - √6/√3

= 4 + 2√3 - 3√2 - √6/√3

Finally, we can rationalize the denominator of the fraction.

= 4 + 2√3 - 3√2 - √6/√3 * (√3/√3)

= 4 + 2√3 - 3√2 - √6√3/√3

= 4 + 2√3 - 3√2 - √18/√3

= 4 + 2√3 - 3√2 - √(9*2)/√3

= 4 + 2√3 - 3√2 - 3√2/√3

= 4 + 2√3 - 6√2/√3

= 4 + 2√3 - 6√2√3/√3√3

= 4 + 2√3 - 6√6/√9

= 4 + 2√3 - 6√6/3

= 4 + 2√3 - 2√6

Therefore, the simplified expression is 4 + 2√3 - 2√6.