(2sqrt (3)cdot sqrt (2))/(sqrt (6))+3cdot sqrt ((1)/(9))=

To simplify the expression, we can start by simplifying the numerator and denominator separately.In the numerator, we have . We can multiply the square roots together to get .In the denominator, we have .Now, we can simplify the fraction by dividing the numerator by the denominator: Next, we can simplify the second term in the expression, which is . We can take the square root of to get , and then multiply it by 3 to get 1.So, the final simplified expression is: Therefore, the answer is 3.