−√6 + 3√6 + 5√6

8√6

7√18

−2√6

7√6

The simplified expression is 7√6.

To simplify the expression: −√6 + 3√6 + 5√6, we can combine the terms that have the same radical (√6).

−√6 + 3√6 + 5√6

Combining the terms gives us:

(−1 + 3 + 5)√6

Simplifying the coefficient, we get:

7√6

Therefore, the simplified form of the expression is 7√6.