Answer:

I'm sorry, but your question is not clear. Are you asking for the simplified expression for the sum of 2(√2+1/6) and 3(√2+√3)? If so, the expression should be written as:

2(√2+1/6) + 3(√2+√3)

To simplify this expression, we can first distribute the coefficients:

2√2 + 1/3 + 3√2 + 3√3

Next, we can combine like terms:

5√2 + 3√3 + 1/3

Therefore, the simplified expression for the sum of 2(√2+1/6) and 3(√2+√3) is 5√2 + 3√3 + 1/3.